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Finding the Third Proportional to 156,979.69 and 250,616.53

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Solution

The third proportional to 156,979.69 and 250,616.53 is: 400,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,979.69 : 250,616.53 = 250,616.53 : x
  2. Step 2: Convert to fraction form
    156,979.69/250,616.53 = 250,616.53/x
  3. Step 3: Cross multiply
    156,979.69x = 250,616.53 × 250,616.53
  4. Step 4: Simplify right side
    156,979.69x = 62,808,645,735.78
  5. Step 5: Solve for x
    x = 62,808,645,735.78/156,979.69
  6. Step 6: Final answer
    x = 400,106.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.