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Finding the Third Proportional to 149,527.69 and 331,965

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Solution

The third proportional to 149,527.69 and 331,965 is: 736,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,527.69 : 331,965 = 331,965 : x
  2. Step 2: Convert to fraction form
    149,527.69/331,965 = 331,965/x
  3. Step 3: Cross multiply
    149,527.69x = 331,965 × 331,965
  4. Step 4: Simplify right side
    149,527.69x = 110,200,761,225
  5. Step 5: Solve for x
    x = 110,200,761,225/149,527.69
  6. Step 6: Final answer
    x = 736,992.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.