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Finding the Third Proportional to 232.45 and 373.92

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Solution

The third proportional to 232.45 and 373.92 is: 601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.45 : 373.92 = 373.92 : x
  2. Step 2: Convert to fraction form
    232.45/373.92 = 373.92/x
  3. Step 3: Cross multiply
    232.45x = 373.92 × 373.92
  4. Step 4: Simplify right side
    232.45x = 139,817.57
  5. Step 5: Solve for x
    x = 139,817.57/232.45
  6. Step 6: Final answer
    x = 601.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.