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Finding the Third Proportional to 115,914.75 and 247,140.75

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Solution

The third proportional to 115,914.75 and 247,140.75 is: 526,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,914.75 : 247,140.75 = 247,140.75 : x
  2. Step 2: Convert to fraction form
    115,914.75/247,140.75 = 247,140.75/x
  3. Step 3: Cross multiply
    115,914.75x = 247,140.75 × 247,140.75
  4. Step 4: Simplify right side
    115,914.75x = 61,078,550,310.56
  5. Step 5: Solve for x
    x = 61,078,550,310.56/115,914.75
  6. Step 6: Final answer
    x = 526,926.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.