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Finding the Third Proportional to 227,691 and 341,496

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Solution

The third proportional to 227,691 and 341,496 is: 512,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,691 : 341,496 = 341,496 : x
  2. Step 2: Convert to fraction form
    227,691/341,496 = 341,496/x
  3. Step 3: Cross multiply
    227,691x = 341,496 × 341,496
  4. Step 4: Simplify right side
    227,691x = 116,619,518,016
  5. Step 5: Solve for x
    x = 116,619,518,016/227,691
  6. Step 6: Final answer
    x = 512,183.26

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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.