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Finding the Third Proportional to 123,234 and 252,306

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Solution

The third proportional to 123,234 and 252,306 is: 516,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,234 : 252,306 = 252,306 : x
  2. Step 2: Convert to fraction form
    123,234/252,306 = 252,306/x
  3. Step 3: Cross multiply
    123,234x = 252,306 × 252,306
  4. Step 4: Simplify right side
    123,234x = 63,658,317,636
  5. Step 5: Solve for x
    x = 63,658,317,636/123,234
  6. Step 6: Final answer
    x = 516,564.57

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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.