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Finding the Third Proportional to 64.07 and 147.37

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Solution

The third proportional to 64.07 and 147.37 is: 338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 147.37 = 147.37 : x
  2. Step 2: Convert to fraction form
    64.07/147.37 = 147.37/x
  3. Step 3: Cross multiply
    64.07x = 147.37 × 147.37
  4. Step 4: Simplify right side
    64.07x = 21,716.80
  5. Step 5: Solve for x
    x = 21,716.80/64.07
  6. Step 6: Final answer
    x = 338.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.