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Finding the Third Proportional to 159.89 and 247.64

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Solution

The third proportional to 159.89 and 247.64 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.89 : 247.64 = 247.64 : x
  2. Step 2: Convert to fraction form
    159.89/247.64 = 247.64/x
  3. Step 3: Cross multiply
    159.89x = 247.64 × 247.64
  4. Step 4: Simplify right side
    159.89x = 61,325.88
  5. Step 5: Solve for x
    x = 61,325.88/159.89
  6. Step 6: Final answer
    x = 383.55

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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.