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Finding the Third Proportional to 170,616 and 398,716.50

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Solution

The third proportional to 170,616 and 398,716.50 is: 931,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,616 : 398,716.50 = 398,716.50 : x
  2. Step 2: Convert to fraction form
    170,616/398,716.50 = 398,716.50/x
  3. Step 3: Cross multiply
    170,616x = 398,716.50 × 398,716.50
  4. Step 4: Simplify right side
    170,616x = 158,974,847,372.25
  5. Step 5: Solve for x
    x = 158,974,847,372.25/170,616
  6. Step 6: Final answer
    x = 931,769.87

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.