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Finding the Third Proportional to 113,626 and 247,204

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Solution

The third proportional to 113,626 and 247,204 is: 537,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,626 : 247,204 = 247,204 : x
  2. Step 2: Convert to fraction form
    113,626/247,204 = 247,204/x
  3. Step 3: Cross multiply
    113,626x = 247,204 × 247,204
  4. Step 4: Simplify right side
    113,626x = 61,109,817,616
  5. Step 5: Solve for x
    x = 61,109,817,616/113,626
  6. Step 6: Final answer
    x = 537,815.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.