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Finding the Third Proportional to 160,849.97 and 317,662.59

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Solution

The third proportional to 160,849.97 and 317,662.59 is: 627,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,849.97 : 317,662.59 = 317,662.59 : x
  2. Step 2: Convert to fraction form
    160,849.97/317,662.59 = 317,662.59/x
  3. Step 3: Cross multiply
    160,849.97x = 317,662.59 × 317,662.59
  4. Step 4: Simplify right side
    160,849.97x = 100,909,523,467.98
  5. Step 5: Solve for x
    x = 100,909,523,467.98/160,849.97
  6. Step 6: Final answer
    x = 627,351.84

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.