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Finding the Third Proportional to 150,263.44 and 234,011.53

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Solution

The third proportional to 150,263.44 and 234,011.53 is: 364,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,263.44 : 234,011.53 = 234,011.53 : x
  2. Step 2: Convert to fraction form
    150,263.44/234,011.53 = 234,011.53/x
  3. Step 3: Cross multiply
    150,263.44x = 234,011.53 × 234,011.53
  4. Step 4: Simplify right side
    150,263.44x = 54,761,396,757.97
  5. Step 5: Solve for x
    x = 54,761,396,757.97/150,263.44
  6. Step 6: Final answer
    x = 364,435.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.