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Finding the Third Proportional to 253,289.25 and 548,609.25

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Solution

The third proportional to 253,289.25 and 548,609.25 is: 1,188,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,289.25 : 548,609.25 = 548,609.25 : x
  2. Step 2: Convert to fraction form
    253,289.25/548,609.25 = 548,609.25/x
  3. Step 3: Cross multiply
    253,289.25x = 548,609.25 × 548,609.25
  4. Step 4: Simplify right side
    253,289.25x = 300,972,109,185.56
  5. Step 5: Solve for x
    x = 300,972,109,185.56/253,289.25
  6. Step 6: Final answer
    x = 1,188,254.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.