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Finding the Third Proportional to 122,306.63 and 269,443.13

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Solution

The third proportional to 122,306.63 and 269,443.13 is: 593,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,306.63 : 269,443.13 = 269,443.13 : x
  2. Step 2: Convert to fraction form
    122,306.63/269,443.13 = 269,443.13/x
  3. Step 3: Cross multiply
    122,306.63x = 269,443.13 × 269,443.13
  4. Step 4: Simplify right side
    122,306.63x = 72,599,597,609.77
  5. Step 5: Solve for x
    x = 72,599,597,609.77/122,306.63
  6. Step 6: Final answer
    x = 593,586.80

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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.