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Finding the Third Proportional to 115,394 and 247,396

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Solution

The third proportional to 115,394 and 247,396 is: 530,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,394 : 247,396 = 247,396 : x
  2. Step 2: Convert to fraction form
    115,394/247,396 = 247,396/x
  3. Step 3: Cross multiply
    115,394x = 247,396 × 247,396
  4. Step 4: Simplify right side
    115,394x = 61,204,780,816
  5. Step 5: Solve for x
    x = 61,204,780,816/115,394
  6. Step 6: Final answer
    x = 530,398.29

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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.