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Finding the Third Proportional to 118,436.88 and 182,229.75

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Solution

The third proportional to 118,436.88 and 182,229.75 is: 280,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,436.88 : 182,229.75 = 182,229.75 : x
  2. Step 2: Convert to fraction form
    118,436.88/182,229.75 = 182,229.75/x
  3. Step 3: Cross multiply
    118,436.88x = 182,229.75 × 182,229.75
  4. Step 4: Simplify right side
    118,436.88x = 33,207,681,785.06
  5. Step 5: Solve for x
    x = 33,207,681,785.06/118,436.88
  6. Step 6: Final answer
    x = 280,382.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.