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Finding the Third Proportional to 159.25 and 337.81

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Solution

The third proportional to 159.25 and 337.81 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.25 : 337.81 = 337.81 : x
  2. Step 2: Convert to fraction form
    159.25/337.81 = 337.81/x
  3. Step 3: Cross multiply
    159.25x = 337.81 × 337.81
  4. Step 4: Simplify right side
    159.25x = 114,117.29
  5. Step 5: Solve for x
    x = 114,117.29/159.25
  6. Step 6: Final answer
    x = 716.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.