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Finding the Third Proportional to 185,200.25 and 280,382.25

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Solution

The third proportional to 185,200.25 and 280,382.25 is: 424,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,200.25 : 280,382.25 = 280,382.25 : x
  2. Step 2: Convert to fraction form
    185,200.25/280,382.25 = 280,382.25/x
  3. Step 3: Cross multiply
    185,200.25x = 280,382.25 × 280,382.25
  4. Step 4: Simplify right side
    185,200.25x = 78,614,206,115.06
  5. Step 5: Solve for x
    x = 78,614,206,115.06/185,200.25
  6. Step 6: Final answer
    x = 424,482.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.