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Finding the Third Proportional to 114,770.25 and 243,178.88

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Solution

The third proportional to 114,770.25 and 243,178.88 is: 515,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,770.25 : 243,178.88 = 243,178.88 : x
  2. Step 2: Convert to fraction form
    114,770.25/243,178.88 = 243,178.88/x
  3. Step 3: Cross multiply
    114,770.25x = 243,178.88 × 243,178.88
  4. Step 4: Simplify right side
    114,770.25x = 59,135,965,246.27
  5. Step 5: Solve for x
    x = 59,135,965,246.27/114,770.25
  6. Step 6: Final answer
    x = 515,255.17

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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.