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Finding the Third Proportional to 122,331.52 and 269,496.49

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Solution

The third proportional to 122,331.52 and 269,496.49 is: 593,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,331.52 : 269,496.49 = 269,496.49 : x
  2. Step 2: Convert to fraction form
    122,331.52/269,496.49 = 269,496.49/x
  3. Step 3: Cross multiply
    122,331.52x = 269,496.49 × 269,496.49
  4. Step 4: Simplify right side
    122,331.52x = 72,628,359,301.37
  5. Step 5: Solve for x
    x = 72,628,359,301.37/122,331.52
  6. Step 6: Final answer
    x = 593,701.13

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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.