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Finding the Third Proportional to 123,241 and 252,310

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Solution

The third proportional to 123,241 and 252,310 is: 516,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241 : 252,310 = 252,310 : x
  2. Step 2: Convert to fraction form
    123,241/252,310 = 252,310/x
  3. Step 3: Cross multiply
    123,241x = 252,310 × 252,310
  4. Step 4: Simplify right side
    123,241x = 63,660,336,100
  5. Step 5: Solve for x
    x = 63,660,336,100/123,241
  6. Step 6: Final answer
    x = 516,551.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.