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Finding the Third Proportional to 148.38 and 233.13

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Solution

The third proportional to 148.38 and 233.13 is: 366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 233.13 = 233.13 : x
  2. Step 2: Convert to fraction form
    148.38/233.13 = 233.13/x
  3. Step 3: Cross multiply
    148.38x = 233.13 × 233.13
  4. Step 4: Simplify right side
    148.38x = 54,347.27
  5. Step 5: Solve for x
    x = 54,347.27/148.38
  6. Step 6: Final answer
    x = 366.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.