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Finding the Third Proportional to 135,232.50 and 202,869

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Solution

The third proportional to 135,232.50 and 202,869 is: 304,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,232.50 : 202,869 = 202,869 : x
  2. Step 2: Convert to fraction form
    135,232.50/202,869 = 202,869/x
  3. Step 3: Cross multiply
    135,232.50x = 202,869 × 202,869
  4. Step 4: Simplify right side
    135,232.50x = 41,155,831,161
  5. Step 5: Solve for x
    x = 41,155,831,161/135,232.50
  6. Step 6: Final answer
    x = 304,333.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.