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Finding the Third Proportional to 252.49 and 346.15

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Solution

The third proportional to 252.49 and 346.15 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 346.15 = 346.15 : x
  2. Step 2: Convert to fraction form
    252.49/346.15 = 346.15/x
  3. Step 3: Cross multiply
    252.49x = 346.15 × 346.15
  4. Step 4: Simplify right side
    252.49x = 119,818.74
  5. Step 5: Solve for x
    x = 119,818.74/252.49
  6. Step 6: Final answer
    x = 474.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.