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Finding the Third Proportional to 178,120.13 and 363,493.13

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Solution

The third proportional to 178,120.13 and 363,493.13 is: 741,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,120.13 : 363,493.13 = 363,493.13 : x
  2. Step 2: Convert to fraction form
    178,120.13/363,493.13 = 363,493.13/x
  3. Step 3: Cross multiply
    178,120.13x = 363,493.13 × 363,493.13
  4. Step 4: Simplify right side
    178,120.13x = 132,127,251,922.27
  5. Step 5: Solve for x
    x = 132,127,251,922.27/178,120.13
  6. Step 6: Final answer
    x = 741,787.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.