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Finding the Third Proportional to 150,186 and 326,616

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Solution

The third proportional to 150,186 and 326,616 is: 710,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186 : 326,616 = 326,616 : x
  2. Step 2: Convert to fraction form
    150,186/326,616 = 326,616/x
  3. Step 3: Cross multiply
    150,186x = 326,616 × 326,616
  4. Step 4: Simplify right side
    150,186x = 106,678,011,456
  5. Step 5: Solve for x
    x = 106,678,011,456/150,186
  6. Step 6: Final answer
    x = 710,305.96

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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.