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Finding the Third Proportional to 101.04 and 232.98

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Solution

The third proportional to 101.04 and 232.98 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 232.98 = 232.98 : x
  2. Step 2: Convert to fraction form
    101.04/232.98 = 232.98/x
  3. Step 3: Cross multiply
    101.04x = 232.98 × 232.98
  4. Step 4: Simplify right side
    101.04x = 54,279.90
  5. Step 5: Solve for x
    x = 54,279.90/101.04
  6. Step 6: Final answer
    x = 537.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.