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Finding the Third Proportional to 150,122 and 323,356

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Solution

The third proportional to 150,122 and 323,356 is: 696,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,122 : 323,356 = 323,356 : x
  2. Step 2: Convert to fraction form
    150,122/323,356 = 323,356/x
  3. Step 3: Cross multiply
    150,122x = 323,356 × 323,356
  4. Step 4: Simplify right side
    150,122x = 104,559,102,736
  5. Step 5: Solve for x
    x = 104,559,102,736/150,122
  6. Step 6: Final answer
    x = 696,494.20

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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.