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Finding the Third Proportional to 69,324 and 150,456

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Solution

The third proportional to 69,324 and 150,456 is: 326,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324 : 150,456 = 150,456 : x
  2. Step 2: Convert to fraction form
    69,324/150,456 = 150,456/x
  3. Step 3: Cross multiply
    69,324x = 150,456 × 150,456
  4. Step 4: Simplify right side
    69,324x = 22,637,007,936
  5. Step 5: Solve for x
    x = 22,637,007,936/69,324
  6. Step 6: Final answer
    x = 326,539.26

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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.