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Finding the Third Proportional to 206,320 and 278,374

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Solution

The third proportional to 206,320 and 278,374 is: 375,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,320 : 278,374 = 278,374 : x
  2. Step 2: Convert to fraction form
    206,320/278,374 = 278,374/x
  3. Step 3: Cross multiply
    206,320x = 278,374 × 278,374
  4. Step 4: Simplify right side
    206,320x = 77,492,083,876
  5. Step 5: Solve for x
    x = 77,492,083,876/206,320
  6. Step 6: Final answer
    x = 375,591.72

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