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Finding the Third Proportional to 64.27 and 151.57

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Solution

The third proportional to 64.27 and 151.57 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.27 : 151.57 = 151.57 : x
  2. Step 2: Convert to fraction form
    64.27/151.57 = 151.57/x
  3. Step 3: Cross multiply
    64.27x = 151.57 × 151.57
  4. Step 4: Simplify right side
    64.27x = 22,973.56
  5. Step 5: Solve for x
    x = 22,973.56/64.27
  6. Step 6: Final answer
    x = 357.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.