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Finding the Third Proportional to 115,023.50 and 246,039.50

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Solution

The third proportional to 115,023.50 and 246,039.50 is: 526,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,023.50 : 246,039.50 = 246,039.50 : x
  2. Step 2: Convert to fraction form
    115,023.50/246,039.50 = 246,039.50/x
  3. Step 3: Cross multiply
    115,023.50x = 246,039.50 × 246,039.50
  4. Step 4: Simplify right side
    115,023.50x = 60,535,435,560.25
  5. Step 5: Solve for x
    x = 60,535,435,560.25/115,023.50
  6. Step 6: Final answer
    x = 526,287.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.