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Finding the Third Proportional to 150,864 and 207,816.75

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Solution

The third proportional to 150,864 and 207,816.75 is: 286,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864 : 207,816.75 = 207,816.75 : x
  2. Step 2: Convert to fraction form
    150,864/207,816.75 = 207,816.75/x
  3. Step 3: Cross multiply
    150,864x = 207,816.75 × 207,816.75
  4. Step 4: Simplify right side
    150,864x = 43,187,801,580.56
  5. Step 5: Solve for x
    x = 43,187,801,580.56/150,864
  6. Step 6: Final answer
    x = 286,269.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.