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Finding the Third Proportional to 149,190 and 324,614

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Solution

The third proportional to 149,190 and 324,614 is: 706,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,190 : 324,614 = 324,614 : x
  2. Step 2: Convert to fraction form
    149,190/324,614 = 324,614/x
  3. Step 3: Cross multiply
    149,190x = 324,614 × 324,614
  4. Step 4: Simplify right side
    149,190x = 105,374,248,996
  5. Step 5: Solve for x
    x = 105,374,248,996/149,190
  6. Step 6: Final answer
    x = 706,309.06

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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.