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Finding the Third Proportional to 114.86 and 243.63

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Solution

The third proportional to 114.86 and 243.63 is: 516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.86 : 243.63 = 243.63 : x
  2. Step 2: Convert to fraction form
    114.86/243.63 = 243.63/x
  3. Step 3: Cross multiply
    114.86x = 243.63 × 243.63
  4. Step 4: Simplify right side
    114.86x = 59,356.95
  5. Step 5: Solve for x
    x = 59,356.95/114.86
  6. Step 6: Final answer
    x = 516.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.