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Finding the Third Proportional to 220,414.29 and 329,767.14

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Solution

The third proportional to 220,414.29 and 329,767.14 is: 493,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,414.29 : 329,767.14 = 329,767.14 : x
  2. Step 2: Convert to fraction form
    220,414.29/329,767.14 = 329,767.14/x
  3. Step 3: Cross multiply
    220,414.29x = 329,767.14 × 329,767.14
  4. Step 4: Simplify right side
    220,414.29x = 108,746,364,459.68
  5. Step 5: Solve for x
    x = 108,746,364,459.68/220,414.29
  6. Step 6: Final answer
    x = 493,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.