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Finding the Third Proportional to 178,566.38 and 381,350.06

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Solution

The third proportional to 178,566.38 and 381,350.06 is: 814,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,566.38 : 381,350.06 = 381,350.06 : x
  2. Step 2: Convert to fraction form
    178,566.38/381,350.06 = 381,350.06/x
  3. Step 3: Cross multiply
    178,566.38x = 381,350.06 × 381,350.06
  4. Step 4: Simplify right side
    178,566.38x = 145,427,870,168.75
  5. Step 5: Solve for x
    x = 145,427,870,168.75/178,566.38
  6. Step 6: Final answer
    x = 814,419.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.