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Finding the Third Proportional to 111,158 and 243,921

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Solution

The third proportional to 111,158 and 243,921 is: 535,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,158 : 243,921 = 243,921 : x
  2. Step 2: Convert to fraction form
    111,158/243,921 = 243,921/x
  3. Step 3: Cross multiply
    111,158x = 243,921 × 243,921
  4. Step 4: Simplify right side
    111,158x = 59,497,454,241
  5. Step 5: Solve for x
    x = 59,497,454,241/111,158
  6. Step 6: Final answer
    x = 535,251.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.