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Finding the Third Proportional to 159.68 and 244.23

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Solution

The third proportional to 159.68 and 244.23 is: 373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 244.23 = 244.23 : x
  2. Step 2: Convert to fraction form
    159.68/244.23 = 244.23/x
  3. Step 3: Cross multiply
    159.68x = 244.23 × 244.23
  4. Step 4: Simplify right side
    159.68x = 59,648.52
  5. Step 5: Solve for x
    x = 59,648.52/159.68
  6. Step 6: Final answer
    x = 373.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.