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Finding the Third Proportional to 252.84 and 337.78

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Solution

The third proportional to 252.84 and 337.78 is: 451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.84 : 337.78 = 337.78 : x
  2. Step 2: Convert to fraction form
    252.84/337.78 = 337.78/x
  3. Step 3: Cross multiply
    252.84x = 337.78 × 337.78
  4. Step 4: Simplify right side
    252.84x = 114,096.17
  5. Step 5: Solve for x
    x = 114,096.17/252.84
  6. Step 6: Final answer
    x = 451.25

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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.