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Finding the Third Proportional to 115,291 and 252,452

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Solution

The third proportional to 115,291 and 252,452 is: 552,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,291 : 252,452 = 252,452 : x
  2. Step 2: Convert to fraction form
    115,291/252,452 = 252,452/x
  3. Step 3: Cross multiply
    115,291x = 252,452 × 252,452
  4. Step 4: Simplify right side
    115,291x = 63,732,012,304
  5. Step 5: Solve for x
    x = 63,732,012,304/115,291
  6. Step 6: Final answer
    x = 552,792.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.