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Finding the Third Proportional to 178,399.97 and 253,657.83

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Solution

The third proportional to 178,399.97 and 253,657.83 is: 360,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,399.97 : 253,657.83 = 253,657.83 : x
  2. Step 2: Convert to fraction form
    178,399.97/253,657.83 = 253,657.83/x
  3. Step 3: Cross multiply
    178,399.97x = 253,657.83 × 253,657.83
  4. Step 4: Simplify right side
    178,399.97x = 64,342,293,769.09
  5. Step 5: Solve for x
    x = 64,342,293,769.09/178,399.97
  6. Step 6: Final answer
    x = 360,663.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.