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Finding the Third Proportional to 247,273.88 and 385,356.38

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Solution

The third proportional to 247,273.88 and 385,356.38 is: 600,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,273.88 : 385,356.38 = 385,356.38 : x
  2. Step 2: Convert to fraction form
    247,273.88/385,356.38 = 385,356.38/x
  3. Step 3: Cross multiply
    247,273.88x = 385,356.38 × 385,356.38
  4. Step 4: Simplify right side
    247,273.88x = 148,499,535,753.14
  5. Step 5: Solve for x
    x = 148,499,535,753.14/247,273.88
  6. Step 6: Final answer
    x = 600,546.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.