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Finding the Third Proportional to 122,199.75 and 255,570.75

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Solution

The third proportional to 122,199.75 and 255,570.75 is: 534,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,199.75 : 255,570.75 = 255,570.75 : x
  2. Step 2: Convert to fraction form
    122,199.75/255,570.75 = 255,570.75/x
  3. Step 3: Cross multiply
    122,199.75x = 255,570.75 × 255,570.75
  4. Step 4: Simplify right side
    122,199.75x = 65,316,408,255.56
  5. Step 5: Solve for x
    x = 65,316,408,255.56/122,199.75
  6. Step 6: Final answer
    x = 534,505.25

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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.