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Finding the Third Proportional to 114,498 and 244,212.38

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Solution

The third proportional to 114,498 and 244,212.38 is: 520,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,498 : 244,212.38 = 244,212.38 : x
  2. Step 2: Convert to fraction form
    114,498/244,212.38 = 244,212.38/x
  3. Step 3: Cross multiply
    114,498x = 244,212.38 × 244,212.38
  4. Step 4: Simplify right side
    114,498x = 59,639,684,103.14
  5. Step 5: Solve for x
    x = 59,639,684,103.14/114,498
  6. Step 6: Final answer
    x = 520,879.70

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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.