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Finding the Third Proportional to 150,532.31 and 206,412.75

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Solution

The third proportional to 150,532.31 and 206,412.75 is: 283,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,532.31 : 206,412.75 = 206,412.75 : x
  2. Step 2: Convert to fraction form
    150,532.31/206,412.75 = 206,412.75/x
  3. Step 3: Cross multiply
    150,532.31x = 206,412.75 × 206,412.75
  4. Step 4: Simplify right side
    150,532.31x = 42,606,223,362.56
  5. Step 5: Solve for x
    x = 42,606,223,362.56/150,532.31
  6. Step 6: Final answer
    x = 283,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.