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Finding the Third Proportional to 159,683 and 250,496

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Solution

The third proportional to 159,683 and 250,496 is: 392,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,683 : 250,496 = 250,496 : x
  2. Step 2: Convert to fraction form
    159,683/250,496 = 250,496/x
  3. Step 3: Cross multiply
    159,683x = 250,496 × 250,496
  4. Step 4: Simplify right side
    159,683x = 62,748,246,016
  5. Step 5: Solve for x
    x = 62,748,246,016/159,683
  6. Step 6: Final answer
    x = 392,955.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.