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Finding the Third Proportional to 150,048 and 323,208

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Solution

The third proportional to 150,048 and 323,208 is: 696,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 323,208 = 323,208 : x
  2. Step 2: Convert to fraction form
    150,048/323,208 = 323,208/x
  3. Step 3: Cross multiply
    150,048x = 323,208 × 323,208
  4. Step 4: Simplify right side
    150,048x = 104,463,411,264
  5. Step 5: Solve for x
    x = 104,463,411,264/150,048
  6. Step 6: Final answer
    x = 696,199.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.