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Finding the Third Proportional to 150,048 and 320,184

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Solution

The third proportional to 150,048 and 320,184 is: 683,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 320,184 = 320,184 : x
  2. Step 2: Convert to fraction form
    150,048/320,184 = 320,184/x
  3. Step 3: Cross multiply
    150,048x = 320,184 × 320,184
  4. Step 4: Simplify right side
    150,048x = 102,517,793,856
  5. Step 5: Solve for x
    x = 102,517,793,856/150,048
  6. Step 6: Final answer
    x = 683,233.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.