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Finding the Third Proportional to 110,121 and 240,467

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Solution

The third proportional to 110,121 and 240,467 is: 525,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,121 : 240,467 = 240,467 : x
  2. Step 2: Convert to fraction form
    110,121/240,467 = 240,467/x
  3. Step 3: Cross multiply
    110,121x = 240,467 × 240,467
  4. Step 4: Simplify right side
    110,121x = 57,824,378,089
  5. Step 5: Solve for x
    x = 57,824,378,089/110,121
  6. Step 6: Final answer
    x = 525,098.56

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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.