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Finding the Third Proportional to 149,410.50 and 323,727

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Solution

The third proportional to 149,410.50 and 323,727 is: 701,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,410.50 : 323,727 = 323,727 : x
  2. Step 2: Convert to fraction form
    149,410.50/323,727 = 323,727/x
  3. Step 3: Cross multiply
    149,410.50x = 323,727 × 323,727
  4. Step 4: Simplify right side
    149,410.50x = 104,799,170,529
  5. Step 5: Solve for x
    x = 104,799,170,529/149,410.50
  6. Step 6: Final answer
    x = 701,417.71

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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.