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Finding the Third Proportional to 149,701.50 and 323,391.38

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Solution

The third proportional to 149,701.50 and 323,391.38 is: 698,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,701.50 : 323,391.38 = 323,391.38 : x
  2. Step 2: Convert to fraction form
    149,701.50/323,391.38 = 323,391.38/x
  3. Step 3: Cross multiply
    149,701.50x = 323,391.38 × 323,391.38
  4. Step 4: Simplify right side
    149,701.50x = 104,581,981,424.39
  5. Step 5: Solve for x
    x = 104,581,981,424.39/149,701.50
  6. Step 6: Final answer
    x = 698,603.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.