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Finding the Third Proportional to 232.80 and 484.81

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Solution

The third proportional to 232.80 and 484.81 is: 1,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 484.81 = 484.81 : x
  2. Step 2: Convert to fraction form
    232.80/484.81 = 484.81/x
  3. Step 3: Cross multiply
    232.80x = 484.81 × 484.81
  4. Step 4: Simplify right side
    232.80x = 235,044.11
  5. Step 5: Solve for x
    x = 235,044.11/232.80
  6. Step 6: Final answer
    x = 1,009.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.