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Finding the Third Proportional to 123,248 and 252,337

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Solution

The third proportional to 123,248 and 252,337 is: 516,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,248 : 252,337 = 252,337 : x
  2. Step 2: Convert to fraction form
    123,248/252,337 = 252,337/x
  3. Step 3: Cross multiply
    123,248x = 252,337 × 252,337
  4. Step 4: Simplify right side
    123,248x = 63,673,961,569
  5. Step 5: Solve for x
    x = 63,673,961,569/123,248
  6. Step 6: Final answer
    x = 516,632.82

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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.