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Finding the Third Proportional to 149,040 and 324,846

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Solution

The third proportional to 149,040 and 324,846 is: 708,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,040 : 324,846 = 324,846 : x
  2. Step 2: Convert to fraction form
    149,040/324,846 = 324,846/x
  3. Step 3: Cross multiply
    149,040x = 324,846 × 324,846
  4. Step 4: Simplify right side
    149,040x = 105,524,923,716
  5. Step 5: Solve for x
    x = 105,524,923,716/149,040
  6. Step 6: Final answer
    x = 708,030.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.