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Finding the Third Proportional to 185,073.75 and 398,220.75

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Solution

The third proportional to 185,073.75 and 398,220.75 is: 856,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,073.75 : 398,220.75 = 398,220.75 : x
  2. Step 2: Convert to fraction form
    185,073.75/398,220.75 = 398,220.75/x
  3. Step 3: Cross multiply
    185,073.75x = 398,220.75 × 398,220.75
  4. Step 4: Simplify right side
    185,073.75x = 158,579,765,730.56
  5. Step 5: Solve for x
    x = 158,579,765,730.56/185,073.75
  6. Step 6: Final answer
    x = 856,846.34

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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.