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Finding the Third Proportional to 132,785.38 and 200,287.69

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Solution

The third proportional to 132,785.38 and 200,287.69 is: 302,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,785.38 : 200,287.69 = 200,287.69 : x
  2. Step 2: Convert to fraction form
    132,785.38/200,287.69 = 200,287.69/x
  3. Step 3: Cross multiply
    132,785.38x = 200,287.69 × 200,287.69
  4. Step 4: Simplify right side
    132,785.38x = 40,115,157,764.10
  5. Step 5: Solve for x
    x = 40,115,157,764.10/132,785.38
  6. Step 6: Final answer
    x = 302,105.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.