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Finding the Third Proportional to 152,427 and 205,617

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Solution

The third proportional to 152,427 and 205,617 is: 277,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,427 : 205,617 = 205,617 : x
  2. Step 2: Convert to fraction form
    152,427/205,617 = 205,617/x
  3. Step 3: Cross multiply
    152,427x = 205,617 × 205,617
  4. Step 4: Simplify right side
    152,427x = 42,278,350,689
  5. Step 5: Solve for x
    x = 42,278,350,689/152,427
  6. Step 6: Final answer
    x = 277,367.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.