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Finding the Third Proportional to 161,471 and 252,018

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Solution

The third proportional to 161,471 and 252,018 is: 393,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,471 : 252,018 = 252,018 : x
  2. Step 2: Convert to fraction form
    161,471/252,018 = 252,018/x
  3. Step 3: Cross multiply
    161,471x = 252,018 × 252,018
  4. Step 4: Simplify right side
    161,471x = 63,513,072,324
  5. Step 5: Solve for x
    x = 63,513,072,324/161,471
  6. Step 6: Final answer
    x = 393,340.43

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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.