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Finding the Third Proportional to 149,401.13 and 323,694

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Solution

The third proportional to 149,401.13 and 323,694 is: 701,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,401.13 : 323,694 = 323,694 : x
  2. Step 2: Convert to fraction form
    149,401.13/323,694 = 323,694/x
  3. Step 3: Cross multiply
    149,401.13x = 323,694 × 323,694
  4. Step 4: Simplify right side
    149,401.13x = 104,777,805,636
  5. Step 5: Solve for x
    x = 104,777,805,636/149,401.13
  6. Step 6: Final answer
    x = 701,318.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.