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Finding the Third Proportional to 111,269 and 247,416

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Solution

The third proportional to 111,269 and 247,416 is: 550,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,269 : 247,416 = 247,416 : x
  2. Step 2: Convert to fraction form
    111,269/247,416 = 247,416/x
  3. Step 3: Cross multiply
    111,269x = 247,416 × 247,416
  4. Step 4: Simplify right side
    111,269x = 61,214,677,056
  5. Step 5: Solve for x
    x = 61,214,677,056/111,269
  6. Step 6: Final answer
    x = 550,150.33

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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.