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Finding the Third Proportional to 69,406 and 150,475

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Solution

The third proportional to 69,406 and 150,475 is: 326,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406 : 150,475 = 150,475 : x
  2. Step 2: Convert to fraction form
    69,406/150,475 = 150,475/x
  3. Step 3: Cross multiply
    69,406x = 150,475 × 150,475
  4. Step 4: Simplify right side
    69,406x = 22,642,725,625
  5. Step 5: Solve for x
    x = 22,642,725,625/69,406
  6. Step 6: Final answer
    x = 326,235.85

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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.