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Finding the Third Proportional to 111,306 and 247,494

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Solution

The third proportional to 111,306 and 247,494 is: 550,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,306 : 247,494 = 247,494 : x
  2. Step 2: Convert to fraction form
    111,306/247,494 = 247,494/x
  3. Step 3: Cross multiply
    111,306x = 247,494 × 247,494
  4. Step 4: Simplify right side
    111,306x = 61,253,280,036
  5. Step 5: Solve for x
    x = 61,253,280,036/111,306
  6. Step 6: Final answer
    x = 550,314.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.