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Finding the Third Proportional to 160,432 and 246,617

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Solution

The third proportional to 160,432 and 246,617 is: 379,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,432 : 246,617 = 246,617 : x
  2. Step 2: Convert to fraction form
    160,432/246,617 = 246,617/x
  3. Step 3: Cross multiply
    160,432x = 246,617 × 246,617
  4. Step 4: Simplify right side
    160,432x = 60,819,944,689
  5. Step 5: Solve for x
    x = 60,819,944,689/160,432
  6. Step 6: Final answer
    x = 379,101.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.