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Finding the Third Proportional to 191,772.13 and 287,514.19

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Solution

The third proportional to 191,772.13 and 287,514.19 is: 431,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772.13 : 287,514.19 = 287,514.19 : x
  2. Step 2: Convert to fraction form
    191,772.13/287,514.19 = 287,514.19/x
  3. Step 3: Cross multiply
    191,772.13x = 287,514.19 × 287,514.19
  4. Step 4: Simplify right side
    191,772.13x = 82,664,408,013.79
  5. Step 5: Solve for x
    x = 82,664,408,013.79/191,772.13
  6. Step 6: Final answer
    x = 431,055.39

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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.