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Finding the Third Proportional to 114,469 and 168,397

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Solution

The third proportional to 114,469 and 168,397 is: 247,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469 : 168,397 = 168,397 : x
  2. Step 2: Convert to fraction form
    114,469/168,397 = 168,397/x
  3. Step 3: Cross multiply
    114,469x = 168,397 × 168,397
  4. Step 4: Simplify right side
    114,469x = 28,357,549,609
  5. Step 5: Solve for x
    x = 28,357,549,609/114,469
  6. Step 6: Final answer
    x = 247,731.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.