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Finding the Third Proportional to 149,966 and 324,854

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Solution

The third proportional to 149,966 and 324,854 is: 703,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,966 : 324,854 = 324,854 : x
  2. Step 2: Convert to fraction form
    149,966/324,854 = 324,854/x
  3. Step 3: Cross multiply
    149,966x = 324,854 × 324,854
  4. Step 4: Simplify right side
    149,966x = 105,530,121,316
  5. Step 5: Solve for x
    x = 105,530,121,316/149,966
  6. Step 6: Final answer
    x = 703,693.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.