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Finding the Third Proportional to 170,804.25 and 271,412.44

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Solution

The third proportional to 170,804.25 and 271,412.44 is: 431,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,804.25 : 271,412.44 = 271,412.44 : x
  2. Step 2: Convert to fraction form
    170,804.25/271,412.44 = 271,412.44/x
  3. Step 3: Cross multiply
    170,804.25x = 271,412.44 × 271,412.44
  4. Step 4: Simplify right side
    170,804.25x = 73,664,711,229.69
  5. Step 5: Solve for x
    x = 73,664,711,229.69/170,804.25
  6. Step 6: Final answer
    x = 431,281.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.