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Finding the Third Proportional to 171,074.25 and 268,359.75

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Solution

The third proportional to 171,074.25 and 268,359.75 is: 420,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,074.25 : 268,359.75 = 268,359.75 : x
  2. Step 2: Convert to fraction form
    171,074.25/268,359.75 = 268,359.75/x
  3. Step 3: Cross multiply
    171,074.25x = 268,359.75 × 268,359.75
  4. Step 4: Simplify right side
    171,074.25x = 72,016,955,420.06
  5. Step 5: Solve for x
    x = 72,016,955,420.06/171,074.25
  6. Step 6: Final answer
    x = 420,969.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.