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Finding the Third Proportional to 281,926.50 and 436,935

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Solution

The third proportional to 281,926.50 and 436,935 is: 677,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,926.50 : 436,935 = 436,935 : x
  2. Step 2: Convert to fraction form
    281,926.50/436,935 = 436,935/x
  3. Step 3: Cross multiply
    281,926.50x = 436,935 × 436,935
  4. Step 4: Simplify right side
    281,926.50x = 190,912,194,225
  5. Step 5: Solve for x
    x = 190,912,194,225/281,926.50
  6. Step 6: Final answer
    x = 677,170.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.