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Finding the Third Proportional to 191,878.88 and 287,841.09

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Solution

The third proportional to 191,878.88 and 287,841.09 is: 431,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,878.88 : 287,841.09 = 287,841.09 : x
  2. Step 2: Convert to fraction form
    191,878.88/287,841.09 = 287,841.09/x
  3. Step 3: Cross multiply
    191,878.88x = 287,841.09 × 287,841.09
  4. Step 4: Simplify right side
    191,878.88x = 82,852,495,251.20
  5. Step 5: Solve for x
    x = 82,852,495,251.20/191,878.88
  6. Step 6: Final answer
    x = 431,795.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.