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Finding the Third Proportional to 150,645.75 and 206,571.75

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Solution

The third proportional to 150,645.75 and 206,571.75 is: 283,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,645.75 : 206,571.75 = 206,571.75 : x
  2. Step 2: Convert to fraction form
    150,645.75/206,571.75 = 206,571.75/x
  3. Step 3: Cross multiply
    150,645.75x = 206,571.75 × 206,571.75
  4. Step 4: Simplify right side
    150,645.75x = 42,671,887,898.06
  5. Step 5: Solve for x
    x = 42,671,887,898.06/150,645.75
  6. Step 6: Final answer
    x = 283,259.82

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