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Finding the Third Proportional to 147,961.50 and 209,361.75

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Solution

The third proportional to 147,961.50 and 209,361.75 is: 296,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,961.50 : 209,361.75 = 209,361.75 : x
  2. Step 2: Convert to fraction form
    147,961.50/209,361.75 = 209,361.75/x
  3. Step 3: Cross multiply
    147,961.50x = 209,361.75 × 209,361.75
  4. Step 4: Simplify right side
    147,961.50x = 43,832,342,363.06
  5. Step 5: Solve for x
    x = 43,832,342,363.06/147,961.50
  6. Step 6: Final answer
    x = 296,241.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.