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Finding the Third Proportional to 185,149.13 and 280,320.75

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Solution

The third proportional to 185,149.13 and 280,320.75 is: 424,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,149.13 : 280,320.75 = 280,320.75 : x
  2. Step 2: Convert to fraction form
    185,149.13/280,320.75 = 280,320.75/x
  3. Step 3: Cross multiply
    185,149.13x = 280,320.75 × 280,320.75
  4. Step 4: Simplify right side
    185,149.13x = 78,579,722,880.56
  5. Step 5: Solve for x
    x = 78,579,722,880.56/185,149.13
  6. Step 6: Final answer
    x = 424,413.15

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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.