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Finding the Third Proportional to 180,654.75 and 393,481.13

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Solution

The third proportional to 180,654.75 and 393,481.13 is: 857,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,654.75 : 393,481.13 = 393,481.13 : x
  2. Step 2: Convert to fraction form
    180,654.75/393,481.13 = 393,481.13/x
  3. Step 3: Cross multiply
    180,654.75x = 393,481.13 × 393,481.13
  4. Step 4: Simplify right side
    180,654.75x = 154,827,395,731.27
  5. Step 5: Solve for x
    x = 154,827,395,731.27/180,654.75
  6. Step 6: Final answer
    x = 857,034.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.