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Finding the Third Proportional to 159.38 and 256.88

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Solution

The third proportional to 159.38 and 256.88 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.38 : 256.88 = 256.88 : x
  2. Step 2: Convert to fraction form
    159.38/256.88 = 256.88/x
  3. Step 3: Cross multiply
    159.38x = 256.88 × 256.88
  4. Step 4: Simplify right side
    159.38x = 65,984.77
  5. Step 5: Solve for x
    x = 65,984.77/159.38
  6. Step 6: Final answer
    x = 414.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.