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Finding the Third Proportional to 149,361 and 236,619

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Solution

The third proportional to 149,361 and 236,619 is: 374,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,361 : 236,619 = 236,619 : x
  2. Step 2: Convert to fraction form
    149,361/236,619 = 236,619/x
  3. Step 3: Cross multiply
    149,361x = 236,619 × 236,619
  4. Step 4: Simplify right side
    149,361x = 55,988,551,161
  5. Step 5: Solve for x
    x = 55,988,551,161/149,361
  6. Step 6: Final answer
    x = 374,853.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.