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Finding the Third Proportional to 252.49 and 349.52

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Solution

The third proportional to 252.49 and 349.52 is: 483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 349.52 = 349.52 : x
  2. Step 2: Convert to fraction form
    252.49/349.52 = 349.52/x
  3. Step 3: Cross multiply
    252.49x = 349.52 × 349.52
  4. Step 4: Simplify right side
    252.49x = 122,166.63
  5. Step 5: Solve for x
    x = 122,166.63/252.49
  6. Step 6: Final answer
    x = 483.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.