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Finding the Third Proportional to 160,234 and 251,348

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Solution

The third proportional to 160,234 and 251,348 is: 394,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,234 : 251,348 = 251,348 : x
  2. Step 2: Convert to fraction form
    160,234/251,348 = 251,348/x
  3. Step 3: Cross multiply
    160,234x = 251,348 × 251,348
  4. Step 4: Simplify right side
    160,234x = 63,175,817,104
  5. Step 5: Solve for x
    x = 63,175,817,104/160,234
  6. Step 6: Final answer
    x = 394,272.23

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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.