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Finding the Third Proportional to 69,236.25 and 150,622.50

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Solution

The third proportional to 69,236.25 and 150,622.50 is: 327,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,236.25 : 150,622.50 = 150,622.50 : x
  2. Step 2: Convert to fraction form
    69,236.25/150,622.50 = 150,622.50/x
  3. Step 3: Cross multiply
    69,236.25x = 150,622.50 × 150,622.50
  4. Step 4: Simplify right side
    69,236.25x = 22,687,137,506.25
  5. Step 5: Solve for x
    x = 22,687,137,506.25/69,236.25
  6. Step 6: Final answer
    x = 327,677.16

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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.