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Finding the Third Proportional to 188,853.75 and 386,434.13

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Solution

The third proportional to 188,853.75 and 386,434.13 is: 790,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853.75 : 386,434.13 = 386,434.13 : x
  2. Step 2: Convert to fraction form
    188,853.75/386,434.13 = 386,434.13/x
  3. Step 3: Cross multiply
    188,853.75x = 386,434.13 × 386,434.13
  4. Step 4: Simplify right side
    188,853.75x = 149,331,332,964.52
  5. Step 5: Solve for x
    x = 149,331,332,964.52/188,853.75
  6. Step 6: Final answer
    x = 790,724.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.