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Finding the Third Proportional to 122,309.05 and 247,904.30

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Solution

The third proportional to 122,309.05 and 247,904.30 is: 502,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,309.05 : 247,904.30 = 247,904.30 : x
  2. Step 2: Convert to fraction form
    122,309.05/247,904.30 = 247,904.30/x
  3. Step 3: Cross multiply
    122,309.05x = 247,904.30 × 247,904.30
  4. Step 4: Simplify right side
    122,309.05x = 61,456,540,409.09
  5. Step 5: Solve for x
    x = 61,456,540,409.09/122,309.05
  6. Step 6: Final answer
    x = 502,469.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.