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Finding the Third Proportional to 101,292 and 234,504

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Solution

The third proportional to 101,292 and 234,504 is: 542,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,292 : 234,504 = 234,504 : x
  2. Step 2: Convert to fraction form
    101,292/234,504 = 234,504/x
  3. Step 3: Cross multiply
    101,292x = 234,504 × 234,504
  4. Step 4: Simplify right side
    101,292x = 54,992,126,016
  5. Step 5: Solve for x
    x = 54,992,126,016/101,292
  6. Step 6: Final answer
    x = 542,906.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.