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Finding the Third Proportional to 150,681.75 and 227,965.50

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Solution

The third proportional to 150,681.75 and 227,965.50 is: 344,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681.75 : 227,965.50 = 227,965.50 : x
  2. Step 2: Convert to fraction form
    150,681.75/227,965.50 = 227,965.50/x
  3. Step 3: Cross multiply
    150,681.75x = 227,965.50 × 227,965.50
  4. Step 4: Simplify right side
    150,681.75x = 51,968,269,190.25
  5. Step 5: Solve for x
    x = 51,968,269,190.25/150,681.75
  6. Step 6: Final answer
    x = 344,887.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.