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Finding the Third Proportional to 110,398 and 240,004

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Solution

The third proportional to 110,398 and 240,004 is: 521,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,398 : 240,004 = 240,004 : x
  2. Step 2: Convert to fraction form
    110,398/240,004 = 240,004/x
  3. Step 3: Cross multiply
    110,398x = 240,004 × 240,004
  4. Step 4: Simplify right side
    110,398x = 57,601,920,016
  5. Step 5: Solve for x
    x = 57,601,920,016/110,398
  6. Step 6: Final answer
    x = 521,765.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.