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Finding the Third Proportional to 159.13 and 246.56

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Solution

The third proportional to 159.13 and 246.56 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 246.56 = 246.56 : x
  2. Step 2: Convert to fraction form
    159.13/246.56 = 246.56/x
  3. Step 3: Cross multiply
    159.13x = 246.56 × 246.56
  4. Step 4: Simplify right side
    159.13x = 60,793.07
  5. Step 5: Solve for x
    x = 60,793.07/159.13
  6. Step 6: Final answer
    x = 382.05

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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.