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Finding the Third Proportional to 150,502.50 and 182,805.75

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Solution

The third proportional to 150,502.50 and 182,805.75 is: 222,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,502.50 : 182,805.75 = 182,805.75 : x
  2. Step 2: Convert to fraction form
    150,502.50/182,805.75 = 182,805.75/x
  3. Step 3: Cross multiply
    150,502.50x = 182,805.75 × 182,805.75
  4. Step 4: Simplify right side
    150,502.50x = 33,417,942,233.06
  5. Step 5: Solve for x
    x = 33,417,942,233.06/150,502.50
  6. Step 6: Final answer
    x = 222,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.