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Finding the Third Proportional to 131,598.84 and 211,933.13

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Solution

The third proportional to 131,598.84 and 211,933.13 is: 341,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,598.84 : 211,933.13 = 211,933.13 : x
  2. Step 2: Convert to fraction form
    131,598.84/211,933.13 = 211,933.13/x
  3. Step 3: Cross multiply
    131,598.84x = 211,933.13 × 211,933.13
  4. Step 4: Simplify right side
    131,598.84x = 44,915,649,472.27
  5. Step 5: Solve for x
    x = 44,915,649,472.27/131,598.84
  6. Step 6: Final answer
    x = 341,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.