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Finding the Third Proportional to 125,756.25 and 270,239.25

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Solution

The third proportional to 125,756.25 and 270,239.25 is: 580,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,756.25 : 270,239.25 = 270,239.25 : x
  2. Step 2: Convert to fraction form
    125,756.25/270,239.25 = 270,239.25/x
  3. Step 3: Cross multiply
    125,756.25x = 270,239.25 × 270,239.25
  4. Step 4: Simplify right side
    125,756.25x = 73,029,252,240.56
  5. Step 5: Solve for x
    x = 73,029,252,240.56/125,756.25
  6. Step 6: Final answer
    x = 580,720.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.