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Finding the Third Proportional to 149,600.06 and 324,119.06

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Solution

The third proportional to 149,600.06 and 324,119.06 is: 702,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,600.06 : 324,119.06 = 324,119.06 : x
  2. Step 2: Convert to fraction form
    149,600.06/324,119.06 = 324,119.06/x
  3. Step 3: Cross multiply
    149,600.06x = 324,119.06 × 324,119.06
  4. Step 4: Simplify right side
    149,600.06x = 105,053,166,675.88
  5. Step 5: Solve for x
    x = 105,053,166,675.88/149,600.06
  6. Step 6: Final answer
    x = 702,226.76

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Why These Related Problems?

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