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Finding the Third Proportional to 64.13 and 147.38

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Solution

The third proportional to 64.13 and 147.38 is: 338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 147.38 = 147.38 : x
  2. Step 2: Convert to fraction form
    64.13/147.38 = 147.38/x
  3. Step 3: Cross multiply
    64.13x = 147.38 × 147.38
  4. Step 4: Simplify right side
    64.13x = 21,719.39
  5. Step 5: Solve for x
    x = 21,719.39/64.13
  6. Step 6: Final answer
    x = 338.70

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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.