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Finding the Third Proportional to 106,659 and 230,422

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Solution

The third proportional to 106,659 and 230,422 is: 497,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,659 : 230,422 = 230,422 : x
  2. Step 2: Convert to fraction form
    106,659/230,422 = 230,422/x
  3. Step 3: Cross multiply
    106,659x = 230,422 × 230,422
  4. Step 4: Simplify right side
    106,659x = 53,094,298,084
  5. Step 5: Solve for x
    x = 53,094,298,084/106,659
  6. Step 6: Final answer
    x = 497,794.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.