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Finding the Third Proportional to 150,417 and 199,665

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Solution

The third proportional to 150,417 and 199,665 is: 265,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,417 : 199,665 = 199,665 : x
  2. Step 2: Convert to fraction form
    150,417/199,665 = 199,665/x
  3. Step 3: Cross multiply
    150,417x = 199,665 × 199,665
  4. Step 4: Simplify right side
    150,417x = 39,866,112,225
  5. Step 5: Solve for x
    x = 39,866,112,225/150,417
  6. Step 6: Final answer
    x = 265,037.28

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.