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Finding the Third Proportional to 100,282 and 216,238

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Solution

The third proportional to 100,282 and 216,238 is: 466,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,282 : 216,238 = 216,238 : x
  2. Step 2: Convert to fraction form
    100,282/216,238 = 216,238/x
  3. Step 3: Cross multiply
    100,282x = 216,238 × 216,238
  4. Step 4: Simplify right side
    100,282x = 46,758,872,644
  5. Step 5: Solve for x
    x = 46,758,872,644/100,282
  6. Step 6: Final answer
    x = 466,273.83

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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.