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Finding the Third Proportional to 106,352 and 230,432

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Solution

The third proportional to 106,352 and 230,432 is: 499,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,352 : 230,432 = 230,432 : x
  2. Step 2: Convert to fraction form
    106,352/230,432 = 230,432/x
  3. Step 3: Cross multiply
    106,352x = 230,432 × 230,432
  4. Step 4: Simplify right side
    106,352x = 53,098,906,624
  5. Step 5: Solve for x
    x = 53,098,906,624/106,352
  6. Step 6: Final answer
    x = 499,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.