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Finding the Third Proportional to 158,524 and 247,496

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Solution

The third proportional to 158,524 and 247,496 is: 386,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,524 : 247,496 = 247,496 : x
  2. Step 2: Convert to fraction form
    158,524/247,496 = 247,496/x
  3. Step 3: Cross multiply
    158,524x = 247,496 × 247,496
  4. Step 4: Simplify right side
    158,524x = 61,254,270,016
  5. Step 5: Solve for x
    x = 61,254,270,016/158,524
  6. Step 6: Final answer
    x = 386,403.76

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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.