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Finding the Third Proportional to 123,232 and 252,302

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Solution

The third proportional to 123,232 and 252,302 is: 516,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,232 : 252,302 = 252,302 : x
  2. Step 2: Convert to fraction form
    123,232/252,302 = 252,302/x
  3. Step 3: Cross multiply
    123,232x = 252,302 × 252,302
  4. Step 4: Simplify right side
    123,232x = 63,656,299,204
  5. Step 5: Solve for x
    x = 63,656,299,204/123,232
  6. Step 6: Final answer
    x = 516,556.57

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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.