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Finding the Third Proportional to 232.19 and 359.94

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Solution

The third proportional to 232.19 and 359.94 is: 557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 359.94 = 359.94 : x
  2. Step 2: Convert to fraction form
    232.19/359.94 = 359.94/x
  3. Step 3: Cross multiply
    232.19x = 359.94 × 359.94
  4. Step 4: Simplify right side
    232.19x = 129,555.00
  5. Step 5: Solve for x
    x = 129,555.00/232.19
  6. Step 6: Final answer
    x = 557.98

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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.