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Finding the Third Proportional to 77.38 and 164.13

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Solution

The third proportional to 77.38 and 164.13 is: 348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 164.13 = 164.13 : x
  2. Step 2: Convert to fraction form
    77.38/164.13 = 164.13/x
  3. Step 3: Cross multiply
    77.38x = 164.13 × 164.13
  4. Step 4: Simplify right side
    77.38x = 26,937.02
  5. Step 5: Solve for x
    x = 26,937.02/77.38
  6. Step 6: Final answer
    x = 348.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.