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Finding the Third Proportional to 64 and 159.25

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Solution

The third proportional to 64 and 159.25 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 159.25 = 159.25 : x
  2. Step 2: Convert to fraction form
    64/159.25 = 159.25/x
  3. Step 3: Cross multiply
    64x = 159.25 × 159.25
  4. Step 4: Simplify right side
    64x = 25,360.56
  5. Step 5: Solve for x
    x = 25,360.56/64
  6. Step 6: Final answer
    x = 396.26

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.