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Finding the Third Proportional to 106,332 and 230,268

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Solution

The third proportional to 106,332 and 230,268 is: 498,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,332 : 230,268 = 230,268 : x
  2. Step 2: Convert to fraction form
    106,332/230,268 = 230,268/x
  3. Step 3: Cross multiply
    106,332x = 230,268 × 230,268
  4. Step 4: Simplify right side
    106,332x = 53,023,351,824
  5. Step 5: Solve for x
    x = 53,023,351,824/106,332
  6. Step 6: Final answer
    x = 498,658.46

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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.