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Finding the Third Proportional to 252.81 and 341.56

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Solution

The third proportional to 252.81 and 341.56 is: 461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 341.56 = 341.56 : x
  2. Step 2: Convert to fraction form
    252.81/341.56 = 341.56/x
  3. Step 3: Cross multiply
    252.81x = 341.56 × 341.56
  4. Step 4: Simplify right side
    252.81x = 116,663.61
  5. Step 5: Solve for x
    x = 116,663.61/252.81
  6. Step 6: Final answer
    x = 461.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.