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Finding the Third Proportional to 122,335.31 and 269,503.88

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Solution

The third proportional to 122,335.31 and 269,503.88 is: 593,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,335.31 : 269,503.88 = 269,503.88 : x
  2. Step 2: Convert to fraction form
    122,335.31/269,503.88 = 269,503.88/x
  3. Step 3: Cross multiply
    122,335.31x = 269,503.88 × 269,503.88
  4. Step 4: Simplify right side
    122,335.31x = 72,632,338,640.02
  5. Step 5: Solve for x
    x = 72,632,338,640.02/122,335.31
  6. Step 6: Final answer
    x = 593,715.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.