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Finding the Third Proportional to 252,960 and 338,496

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Solution

The third proportional to 252,960 and 338,496 is: 452,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,960 : 338,496 = 338,496 : x
  2. Step 2: Convert to fraction form
    252,960/338,496 = 338,496/x
  3. Step 3: Cross multiply
    252,960x = 338,496 × 338,496
  4. Step 4: Simplify right side
    252,960x = 114,579,542,016
  5. Step 5: Solve for x
    x = 114,579,542,016/252,960
  6. Step 6: Final answer
    x = 452,955.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.