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Finding the Third Proportional to 114,512.75 and 244,241

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Solution

The third proportional to 114,512.75 and 244,241 is: 520,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,512.75 : 244,241 = 244,241 : x
  2. Step 2: Convert to fraction form
    114,512.75/244,241 = 244,241/x
  3. Step 3: Cross multiply
    114,512.75x = 244,241 × 244,241
  4. Step 4: Simplify right side
    114,512.75x = 59,653,666,081
  5. Step 5: Solve for x
    x = 59,653,666,081/114,512.75
  6. Step 6: Final answer
    x = 520,934.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.