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Finding the Third Proportional to 109,338.75 and 178,540.13

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Solution

The third proportional to 109,338.75 and 178,540.13 is: 291,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,338.75 : 178,540.13 = 178,540.13 : x
  2. Step 2: Convert to fraction form
    109,338.75/178,540.13 = 178,540.13/x
  3. Step 3: Cross multiply
    109,338.75x = 178,540.13 × 178,540.13
  4. Step 4: Simplify right side
    109,338.75x = 31,876,576,235.02
  5. Step 5: Solve for x
    x = 31,876,576,235.02/109,338.75
  6. Step 6: Final answer
    x = 291,539.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.