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Finding the Third Proportional to 158,744 and 339,317

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Solution

The third proportional to 158,744 and 339,317 is: 725,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,744 : 339,317 = 339,317 : x
  2. Step 2: Convert to fraction form
    158,744/339,317 = 339,317/x
  3. Step 3: Cross multiply
    158,744x = 339,317 × 339,317
  4. Step 4: Simplify right side
    158,744x = 115,136,026,489
  5. Step 5: Solve for x
    x = 115,136,026,489/158,744
  6. Step 6: Final answer
    x = 725,293.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.