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Finding the Third Proportional to 149,648 and 323,035

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Solution

The third proportional to 149,648 and 323,035 is: 697,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,648 : 323,035 = 323,035 : x
  2. Step 2: Convert to fraction form
    149,648/323,035 = 323,035/x
  3. Step 3: Cross multiply
    149,648x = 323,035 × 323,035
  4. Step 4: Simplify right side
    149,648x = 104,351,611,225
  5. Step 5: Solve for x
    x = 104,351,611,225/149,648
  6. Step 6: Final answer
    x = 697,313.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.