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Finding the Third Proportional to 122,320.13 and 255,696.75

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Solution

The third proportional to 122,320.13 and 255,696.75 is: 534,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,320.13 : 255,696.75 = 255,696.75 : x
  2. Step 2: Convert to fraction form
    122,320.13/255,696.75 = 255,696.75/x
  3. Step 3: Cross multiply
    122,320.13x = 255,696.75 × 255,696.75
  4. Step 4: Simplify right side
    122,320.13x = 65,380,827,960.56
  5. Step 5: Solve for x
    x = 65,380,827,960.56/122,320.13
  6. Step 6: Final answer
    x = 534,505.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.