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Finding the Third Proportional to 246.52 and 380.95

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Solution

The third proportional to 246.52 and 380.95 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.52 : 380.95 = 380.95 : x
  2. Step 2: Convert to fraction form
    246.52/380.95 = 380.95/x
  3. Step 3: Cross multiply
    246.52x = 380.95 × 380.95
  4. Step 4: Simplify right side
    246.52x = 145,125.28
  5. Step 5: Solve for x
    x = 145,125.28/246.52
  6. Step 6: Final answer
    x = 588.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.