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Finding the Third Proportional to 71,476.17 and 155,402.30

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Solution

The third proportional to 71,476.17 and 155,402.30 is: 337,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,476.17 : 155,402.30 = 155,402.30 : x
  2. Step 2: Convert to fraction form
    71,476.17/155,402.30 = 155,402.30/x
  3. Step 3: Cross multiply
    71,476.17x = 155,402.30 × 155,402.30
  4. Step 4: Simplify right side
    71,476.17x = 24,149,873,874.03
  5. Step 5: Solve for x
    x = 24,149,873,874.03/71,476.17
  6. Step 6: Final answer
    x = 337,873.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.