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Finding the Third Proportional to 178,843.50 and 365,886

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Solution

The third proportional to 178,843.50 and 365,886 is: 748,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,843.50 : 365,886 = 365,886 : x
  2. Step 2: Convert to fraction form
    178,843.50/365,886 = 365,886/x
  3. Step 3: Cross multiply
    178,843.50x = 365,886 × 365,886
  4. Step 4: Simplify right side
    178,843.50x = 133,872,564,996
  5. Step 5: Solve for x
    x = 133,872,564,996/178,843.50
  6. Step 6: Final answer
    x = 748,545.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.