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Finding the Third Proportional to 150,336 and 221,022

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Solution

The third proportional to 150,336 and 221,022 is: 324,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 221,022 = 221,022 : x
  2. Step 2: Convert to fraction form
    150,336/221,022 = 221,022/x
  3. Step 3: Cross multiply
    150,336x = 221,022 × 221,022
  4. Step 4: Simplify right side
    150,336x = 48,850,724,484
  5. Step 5: Solve for x
    x = 48,850,724,484/150,336
  6. Step 6: Final answer
    x = 324,943.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.