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Finding the Third Proportional to 250,147.50 and 547,004.50

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Solution

The third proportional to 250,147.50 and 547,004.50 is: 1,196,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,147.50 : 547,004.50 = 547,004.50 : x
  2. Step 2: Convert to fraction form
    250,147.50/547,004.50 = 547,004.50/x
  3. Step 3: Cross multiply
    250,147.50x = 547,004.50 × 547,004.50
  4. Step 4: Simplify right side
    250,147.50x = 299,213,923,020.25
  5. Step 5: Solve for x
    x = 299,213,923,020.25/250,147.50
  6. Step 6: Final answer
    x = 1,196,149.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.