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Finding the Third Proportional to 126,488.25 and 270,907.88

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Solution

The third proportional to 126,488.25 and 270,907.88 is: 580,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,488.25 : 270,907.88 = 270,907.88 : x
  2. Step 2: Convert to fraction form
    126,488.25/270,907.88 = 270,907.88/x
  3. Step 3: Cross multiply
    126,488.25x = 270,907.88 × 270,907.88
  4. Step 4: Simplify right side
    126,488.25x = 73,391,076,737.02
  5. Step 5: Solve for x
    x = 73,391,076,737.02/126,488.25
  6. Step 6: Final answer
    x = 580,220.51

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Why These Related Problems?

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