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Finding the Third Proportional to 170,641.69 and 371,067.01

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Solution

The third proportional to 170,641.69 and 371,067.01 is: 806,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,641.69 : 371,067.01 = 371,067.01 : x
  2. Step 2: Convert to fraction form
    170,641.69/371,067.01 = 371,067.01/x
  3. Step 3: Cross multiply
    170,641.69x = 371,067.01 × 371,067.01
  4. Step 4: Simplify right side
    170,641.69x = 137,690,727,185.88
  5. Step 5: Solve for x
    x = 137,690,727,185.88/170,641.69
  6. Step 6: Final answer
    x = 806,899.70

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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.