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Finding the Third Proportional to 175,972.78 and 386,937.56

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Solution

The third proportional to 175,972.78 and 386,937.56 is: 850,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,972.78 : 386,937.56 = 386,937.56 : x
  2. Step 2: Convert to fraction form
    175,972.78/386,937.56 = 386,937.56/x
  3. Step 3: Cross multiply
    175,972.78x = 386,937.56 × 386,937.56
  4. Step 4: Simplify right side
    175,972.78x = 149,720,677,273.44
  5. Step 5: Solve for x
    x = 149,720,677,273.44/175,972.78
  6. Step 6: Final answer
    x = 850,817.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.