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Finding the Third Proportional to 128,672 and 278,812

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Solution

The third proportional to 128,672 and 278,812 is: 604,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,672 : 278,812 = 278,812 : x
  2. Step 2: Convert to fraction form
    128,672/278,812 = 278,812/x
  3. Step 3: Cross multiply
    128,672x = 278,812 × 278,812
  4. Step 4: Simplify right side
    128,672x = 77,736,131,344
  5. Step 5: Solve for x
    x = 77,736,131,344/128,672
  6. Step 6: Final answer
    x = 604,141.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.