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Finding the Third Proportional to 69,406 and 150,476

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Solution

The third proportional to 69,406 and 150,476 is: 326,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406 : 150,476 = 150,476 : x
  2. Step 2: Convert to fraction form
    69,406/150,476 = 150,476/x
  3. Step 3: Cross multiply
    69,406x = 150,476 × 150,476
  4. Step 4: Simplify right side
    69,406x = 22,643,026,576
  5. Step 5: Solve for x
    x = 22,643,026,576/69,406
  6. Step 6: Final answer
    x = 326,240.19

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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.