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Finding the Third Proportional to 161,750 and 233,197

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Solution

The third proportional to 161,750 and 233,197 is: 336,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,750 : 233,197 = 233,197 : x
  2. Step 2: Convert to fraction form
    161,750/233,197 = 233,197/x
  3. Step 3: Cross multiply
    161,750x = 233,197 × 233,197
  4. Step 4: Simplify right side
    161,750x = 54,380,840,809
  5. Step 5: Solve for x
    x = 54,380,840,809/161,750
  6. Step 6: Final answer
    x = 336,203.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.