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Finding the Third Proportional to 171,443.25 and 368,401.50

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Solution

The third proportional to 171,443.25 and 368,401.50 is: 791,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,443.25 : 368,401.50 = 368,401.50 : x
  2. Step 2: Convert to fraction form
    171,443.25/368,401.50 = 368,401.50/x
  3. Step 3: Cross multiply
    171,443.25x = 368,401.50 × 368,401.50
  4. Step 4: Simplify right side
    171,443.25x = 135,719,665,202.25
  5. Step 5: Solve for x
    x = 135,719,665,202.25/171,443.25
  6. Step 6: Final answer
    x = 791,630.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.