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Finding the Third Proportional to 159,214 and 244,374

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Solution

The third proportional to 159,214 and 244,374 is: 375,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214 : 244,374 = 244,374 : x
  2. Step 2: Convert to fraction form
    159,214/244,374 = 244,374/x
  3. Step 3: Cross multiply
    159,214x = 244,374 × 244,374
  4. Step 4: Simplify right side
    159,214x = 59,718,651,876
  5. Step 5: Solve for x
    x = 59,718,651,876/159,214
  6. Step 6: Final answer
    x = 375,084.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.