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Finding the Third Proportional to 160,862 and 250,486

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Solution

The third proportional to 160,862 and 250,486 is: 390,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,862 : 250,486 = 250,486 : x
  2. Step 2: Convert to fraction form
    160,862/250,486 = 250,486/x
  3. Step 3: Cross multiply
    160,862x = 250,486 × 250,486
  4. Step 4: Simplify right side
    160,862x = 62,743,236,196
  5. Step 5: Solve for x
    x = 62,743,236,196/160,862
  6. Step 6: Final answer
    x = 390,043.86

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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.