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Finding the Third Proportional to 254,164.50 and 550,170.75

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Solution

The third proportional to 254,164.50 and 550,170.75 is: 1,190,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,164.50 : 550,170.75 = 550,170.75 : x
  2. Step 2: Convert to fraction form
    254,164.50/550,170.75 = 550,170.75/x
  3. Step 3: Cross multiply
    254,164.50x = 550,170.75 × 550,170.75
  4. Step 4: Simplify right side
    254,164.50x = 302,687,854,155.56
  5. Step 5: Solve for x
    x = 302,687,854,155.56/254,164.50
  6. Step 6: Final answer
    x = 1,190,913.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.