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Finding the Third Proportional to 155,937.75 and 204,759.75

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Solution

The third proportional to 155,937.75 and 204,759.75 is: 268,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,937.75 : 204,759.75 = 204,759.75 : x
  2. Step 2: Convert to fraction form
    155,937.75/204,759.75 = 204,759.75/x
  3. Step 3: Cross multiply
    155,937.75x = 204,759.75 × 204,759.75
  4. Step 4: Simplify right side
    155,937.75x = 41,926,555,220.06
  5. Step 5: Solve for x
    x = 41,926,555,220.06/155,937.75
  6. Step 6: Final answer
    x = 268,867.26

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.