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Finding the Third Proportional to 252.42 and 362.18

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Solution

The third proportional to 252.42 and 362.18 is: 519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 362.18 = 362.18 : x
  2. Step 2: Convert to fraction form
    252.42/362.18 = 362.18/x
  3. Step 3: Cross multiply
    252.42x = 362.18 × 362.18
  4. Step 4: Simplify right side
    252.42x = 131,174.13
  5. Step 5: Solve for x
    x = 131,174.13/252.42
  6. Step 6: Final answer
    x = 519.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.