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Finding the Third Proportional to 177,830.44 and 366,049.13

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Solution

The third proportional to 177,830.44 and 366,049.13 is: 753,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,830.44 : 366,049.13 = 366,049.13 : x
  2. Step 2: Convert to fraction form
    177,830.44/366,049.13 = 366,049.13/x
  3. Step 3: Cross multiply
    177,830.44x = 366,049.13 × 366,049.13
  4. Step 4: Simplify right side
    177,830.44x = 133,991,961,913.27
  5. Step 5: Solve for x
    x = 133,991,961,913.27/177,830.44
  6. Step 6: Final answer
    x = 753,481.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.