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Finding the Third Proportional to 131,085.75 and 200,449.13

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Solution

The third proportional to 131,085.75 and 200,449.13 is: 306,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,085.75 : 200,449.13 = 200,449.13 : x
  2. Step 2: Convert to fraction form
    131,085.75/200,449.13 = 200,449.13/x
  3. Step 3: Cross multiply
    131,085.75x = 200,449.13 × 200,449.13
  4. Step 4: Simplify right side
    131,085.75x = 40,179,851,713.27
  5. Step 5: Solve for x
    x = 40,179,851,713.27/131,085.75
  6. Step 6: Final answer
    x = 306,515.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.