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Finding the Third Proportional to 230.86 and 497.95

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Solution

The third proportional to 230.86 and 497.95 is: 1,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 497.95 = 497.95 : x
  2. Step 2: Convert to fraction form
    230.86/497.95 = 497.95/x
  3. Step 3: Cross multiply
    230.86x = 497.95 × 497.95
  4. Step 4: Simplify right side
    230.86x = 247,957.31
  5. Step 5: Solve for x
    x = 247,957.31/230.86
  6. Step 6: Final answer
    x = 1,074.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.