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Finding the Third Proportional to 185,994.75 and 396,322.50

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Solution

The third proportional to 185,994.75 and 396,322.50 is: 844,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,994.75 : 396,322.50 = 396,322.50 : x
  2. Step 2: Convert to fraction form
    185,994.75/396,322.50 = 396,322.50/x
  3. Step 3: Cross multiply
    185,994.75x = 396,322.50 × 396,322.50
  4. Step 4: Simplify right side
    185,994.75x = 157,071,524,006.25
  5. Step 5: Solve for x
    x = 157,071,524,006.25/185,994.75
  6. Step 6: Final answer
    x = 844,494.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.