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Finding the Third Proportional to 98.38 and 230.94

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Solution

The third proportional to 98.38 and 230.94 is: 542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.38 : 230.94 = 230.94 : x
  2. Step 2: Convert to fraction form
    98.38/230.94 = 230.94/x
  3. Step 3: Cross multiply
    98.38x = 230.94 × 230.94
  4. Step 4: Simplify right side
    98.38x = 53,332.13
  5. Step 5: Solve for x
    x = 53,332.13/98.38
  6. Step 6: Final answer
    x = 542.13

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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.