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Finding the Third Proportional to 149,010 and 325,866

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Solution

The third proportional to 149,010 and 325,866 is: 712,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,010 : 325,866 = 325,866 : x
  2. Step 2: Convert to fraction form
    149,010/325,866 = 325,866/x
  3. Step 3: Cross multiply
    149,010x = 325,866 × 325,866
  4. Step 4: Simplify right side
    149,010x = 106,188,649,956
  5. Step 5: Solve for x
    x = 106,188,649,956/149,010
  6. Step 6: Final answer
    x = 712,627.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.