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Finding the Third Proportional to 98.09 and 230.66

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Solution

The third proportional to 98.09 and 230.66 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.09 : 230.66 = 230.66 : x
  2. Step 2: Convert to fraction form
    98.09/230.66 = 230.66/x
  3. Step 3: Cross multiply
    98.09x = 230.66 × 230.66
  4. Step 4: Simplify right side
    98.09x = 53,204.11
  5. Step 5: Solve for x
    x = 53,204.11/98.09
  6. Step 6: Final answer
    x = 542.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.