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Finding the Third Proportional to 199,000.13 and 281,307.94

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Solution

The third proportional to 199,000.13 and 281,307.94 is: 397,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,000.13 : 281,307.94 = 281,307.94 : x
  2. Step 2: Convert to fraction form
    199,000.13/281,307.94 = 281,307.94/x
  3. Step 3: Cross multiply
    199,000.13x = 281,307.94 × 281,307.94
  4. Step 4: Simplify right side
    199,000.13x = 79,134,155,700.50
  5. Step 5: Solve for x
    x = 79,134,155,700.50/199,000.13
  6. Step 6: Final answer
    x = 397,658.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.