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Finding the Third Proportional to 146.18 and 230.98

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Solution

The third proportional to 146.18 and 230.98 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.18 : 230.98 = 230.98 : x
  2. Step 2: Convert to fraction form
    146.18/230.98 = 230.98/x
  3. Step 3: Cross multiply
    146.18x = 230.98 × 230.98
  4. Step 4: Simplify right side
    146.18x = 53,350.17
  5. Step 5: Solve for x
    x = 53,350.17/146.18
  6. Step 6: Final answer
    x = 364.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.