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Finding the Third Proportional to 170,795.25 and 255,252

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Solution

The third proportional to 170,795.25 and 255,252 is: 381,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,795.25 : 255,252 = 255,252 : x
  2. Step 2: Convert to fraction form
    170,795.25/255,252 = 255,252/x
  3. Step 3: Cross multiply
    170,795.25x = 255,252 × 255,252
  4. Step 4: Simplify right side
    170,795.25x = 65,153,583,504
  5. Step 5: Solve for x
    x = 65,153,583,504/170,795.25
  6. Step 6: Final answer
    x = 381,471.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.