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Finding the Third Proportional to 110,403 and 240,009

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Solution

The third proportional to 110,403 and 240,009 is: 521,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,403 : 240,009 = 240,009 : x
  2. Step 2: Convert to fraction form
    110,403/240,009 = 240,009/x
  3. Step 3: Cross multiply
    110,403x = 240,009 × 240,009
  4. Step 4: Simplify right side
    110,403x = 57,604,320,081
  5. Step 5: Solve for x
    x = 57,604,320,081/110,403
  6. Step 6: Final answer
    x = 521,764.08

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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.