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Finding the Third Proportional to 158,306 and 250,660

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Solution

The third proportional to 158,306 and 250,660 is: 396,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306 : 250,660 = 250,660 : x
  2. Step 2: Convert to fraction form
    158,306/250,660 = 250,660/x
  3. Step 3: Cross multiply
    158,306x = 250,660 × 250,660
  4. Step 4: Simplify right side
    158,306x = 62,830,435,600
  5. Step 5: Solve for x
    x = 62,830,435,600/158,306
  6. Step 6: Final answer
    x = 396,892.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.