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Finding the Third Proportional to 232.13 and 492.38

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Solution

The third proportional to 232.13 and 492.38 is: 1,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 492.38 = 492.38 : x
  2. Step 2: Convert to fraction form
    232.13/492.38 = 492.38/x
  3. Step 3: Cross multiply
    232.13x = 492.38 × 492.38
  4. Step 4: Simplify right side
    232.13x = 242,433.14
  5. Step 5: Solve for x
    x = 242,433.14/232.13
  6. Step 6: Final answer
    x = 1,044.41

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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.