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Finding the Third Proportional to 149,181 and 324,597

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Solution

The third proportional to 149,181 and 324,597 is: 706,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,181 : 324,597 = 324,597 : x
  2. Step 2: Convert to fraction form
    149,181/324,597 = 324,597/x
  3. Step 3: Cross multiply
    149,181x = 324,597 × 324,597
  4. Step 4: Simplify right side
    149,181x = 105,363,212,409
  5. Step 5: Solve for x
    x = 105,363,212,409/149,181
  6. Step 6: Final answer
    x = 706,277.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.