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Finding the Third Proportional to 122,334.38 and 268,725.75

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Solution

The third proportional to 122,334.38 and 268,725.75 is: 590,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,334.38 : 268,725.75 = 268,725.75 : x
  2. Step 2: Convert to fraction form
    122,334.38/268,725.75 = 268,725.75/x
  3. Step 3: Cross multiply
    122,334.38x = 268,725.75 × 268,725.75
  4. Step 4: Simplify right side
    122,334.38x = 72,213,528,713.06
  5. Step 5: Solve for x
    x = 72,213,528,713.06/122,334.38
  6. Step 6: Final answer
    x = 590,296.30

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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.