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Finding the Third Proportional to 252.14 and 369.91

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Solution

The third proportional to 252.14 and 369.91 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 369.91 = 369.91 : x
  2. Step 2: Convert to fraction form
    252.14/369.91 = 369.91/x
  3. Step 3: Cross multiply
    252.14x = 369.91 × 369.91
  4. Step 4: Simplify right side
    252.14x = 136,836.41
  5. Step 5: Solve for x
    x = 136,836.41/252.14
  6. Step 6: Final answer
    x = 542.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.