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Finding the Third Proportional to 111,261 and 247,467

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Solution

The third proportional to 111,261 and 247,467 is: 550,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,261 : 247,467 = 247,467 : x
  2. Step 2: Convert to fraction form
    111,261/247,467 = 247,467/x
  3. Step 3: Cross multiply
    111,261x = 247,467 × 247,467
  4. Step 4: Simplify right side
    111,261x = 61,239,916,089
  5. Step 5: Solve for x
    x = 61,239,916,089/111,261
  6. Step 6: Final answer
    x = 550,416.73

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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.