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Finding the Third Proportional to 191,786.63 and 287,680.13

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Solution

The third proportional to 191,786.63 and 287,680.13 is: 431,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,786.63 : 287,680.13 = 287,680.13 : x
  2. Step 2: Convert to fraction form
    191,786.63/287,680.13 = 287,680.13/x
  3. Step 3: Cross multiply
    191,786.63x = 287,680.13 × 287,680.13
  4. Step 4: Simplify right side
    191,786.63x = 82,759,854,320.02
  5. Step 5: Solve for x
    x = 82,759,854,320.02/191,786.63
  6. Step 6: Final answer
    x = 431,520.47

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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.