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Finding the Third Proportional to 232.03 and 360.28

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Solution

The third proportional to 232.03 and 360.28 is: 559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 360.28 = 360.28 : x
  2. Step 2: Convert to fraction form
    232.03/360.28 = 360.28/x
  3. Step 3: Cross multiply
    232.03x = 360.28 × 360.28
  4. Step 4: Simplify right side
    232.03x = 129,802.58
  5. Step 5: Solve for x
    x = 129,802.58/232.03
  6. Step 6: Final answer
    x = 559.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.