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Finding the Third Proportional to 185,037 and 396,282

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Solution

The third proportional to 185,037 and 396,282 is: 848,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,037 : 396,282 = 396,282 : x
  2. Step 2: Convert to fraction form
    185,037/396,282 = 396,282/x
  3. Step 3: Cross multiply
    185,037x = 396,282 × 396,282
  4. Step 4: Simplify right side
    185,037x = 157,039,423,524
  5. Step 5: Solve for x
    x = 157,039,423,524/185,037
  6. Step 6: Final answer
    x = 848,692.01

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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.