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Finding the Third Proportional to 69,238 and 150,628

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Solution

The third proportional to 69,238 and 150,628 is: 327,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,238 : 150,628 = 150,628 : x
  2. Step 2: Convert to fraction form
    69,238/150,628 = 150,628/x
  3. Step 3: Cross multiply
    69,238x = 150,628 × 150,628
  4. Step 4: Simplify right side
    69,238x = 22,688,794,384
  5. Step 5: Solve for x
    x = 22,688,794,384/69,238
  6. Step 6: Final answer
    x = 327,692.80

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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.