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Finding the Third Proportional to 148.92 and 233.02

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Solution

The third proportional to 148.92 and 233.02 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 233.02 = 233.02 : x
  2. Step 2: Convert to fraction form
    148.92/233.02 = 233.02/x
  3. Step 3: Cross multiply
    148.92x = 233.02 × 233.02
  4. Step 4: Simplify right side
    148.92x = 54,296.28
  5. Step 5: Solve for x
    x = 54,296.28/148.92
  6. Step 6: Final answer
    x = 364.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.