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Finding the Third Proportional to 162,028.69 and 252,217.13

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Solution

The third proportional to 162,028.69 and 252,217.13 is: 392,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,028.69 : 252,217.13 = 252,217.13 : x
  2. Step 2: Convert to fraction form
    162,028.69/252,217.13 = 252,217.13/x
  3. Step 3: Cross multiply
    162,028.69x = 252,217.13 × 252,217.13
  4. Step 4: Simplify right side
    162,028.69x = 63,613,478,143.27
  5. Step 5: Solve for x
    x = 63,613,478,143.27/162,028.69
  6. Step 6: Final answer
    x = 392,606.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.