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Finding the Third Proportional to 98.38 and 232.06

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Solution

The third proportional to 98.38 and 232.06 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 232.06 = 232.06 : x
  2. Step 2: Convert to fraction form
    98.38/232.06 = 232.06/x
  3. Step 3: Cross multiply
    98.38x = 232.06 × 232.06
  4. Step 4: Simplify right side
    98.38x = 53,853.00
  5. Step 5: Solve for x
    x = 53,853.00/98.38
  6. Step 6: Final answer
    x = 547.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.