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Finding the Third Proportional to 188,902.13 and 287,863.88

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Solution

The third proportional to 188,902.13 and 287,863.88 is: 438,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,902.13 : 287,863.88 = 287,863.88 : x
  2. Step 2: Convert to fraction form
    188,902.13/287,863.88 = 287,863.88/x
  3. Step 3: Cross multiply
    188,902.13x = 287,863.88 × 287,863.88
  4. Step 4: Simplify right side
    188,902.13x = 82,865,610,530.02
  5. Step 5: Solve for x
    x = 82,865,610,530.02/188,902.13
  6. Step 6: Final answer
    x = 438,669.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.