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Finding the Third Proportional to 170,649 and 371,080.50

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Solution

The third proportional to 170,649 and 371,080.50 is: 806,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,649 : 371,080.50 = 371,080.50 : x
  2. Step 2: Convert to fraction form
    170,649/371,080.50 = 371,080.50/x
  3. Step 3: Cross multiply
    170,649x = 371,080.50 × 371,080.50
  4. Step 4: Simplify right side
    170,649x = 137,700,737,480.25
  5. Step 5: Solve for x
    x = 137,700,737,480.25/170,649
  6. Step 6: Final answer
    x = 806,923.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.