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Finding the Third Proportional to 161,724 and 331,448

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Solution

The third proportional to 161,724 and 331,448 is: 679,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,724 : 331,448 = 331,448 : x
  2. Step 2: Convert to fraction form
    161,724/331,448 = 331,448/x
  3. Step 3: Cross multiply
    161,724x = 331,448 × 331,448
  4. Step 4: Simplify right side
    161,724x = 109,857,776,704
  5. Step 5: Solve for x
    x = 109,857,776,704/161,724
  6. Step 6: Final answer
    x = 679,291.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.