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Finding the Third Proportional to 149,320 and 324,884

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Solution

The third proportional to 149,320 and 324,884 is: 706,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,320 : 324,884 = 324,884 : x
  2. Step 2: Convert to fraction form
    149,320/324,884 = 324,884/x
  3. Step 3: Cross multiply
    149,320x = 324,884 × 324,884
  4. Step 4: Simplify right side
    149,320x = 105,549,613,456
  5. Step 5: Solve for x
    x = 105,549,613,456/149,320
  6. Step 6: Final answer
    x = 706,868.56

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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.