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Finding the Third Proportional to 159,792 and 250,659

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Solution

The third proportional to 159,792 and 250,659 is: 393,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,792 : 250,659 = 250,659 : x
  2. Step 2: Convert to fraction form
    159,792/250,659 = 250,659/x
  3. Step 3: Cross multiply
    159,792x = 250,659 × 250,659
  4. Step 4: Simplify right side
    159,792x = 62,829,934,281
  5. Step 5: Solve for x
    x = 62,829,934,281/159,792
  6. Step 6: Final answer
    x = 393,198.25

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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.