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Finding the Third Proportional to 126,400.50 and 268,382.25

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Solution

The third proportional to 126,400.50 and 268,382.25 is: 569,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,400.50 : 268,382.25 = 268,382.25 : x
  2. Step 2: Convert to fraction form
    126,400.50/268,382.25 = 268,382.25/x
  3. Step 3: Cross multiply
    126,400.50x = 268,382.25 × 268,382.25
  4. Step 4: Simplify right side
    126,400.50x = 72,029,032,115.06
  5. Step 5: Solve for x
    x = 72,029,032,115.06/126,400.50
  6. Step 6: Final answer
    x = 569,847.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.