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Finding the Third Proportional to 151,082 and 211,755

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Solution

The third proportional to 151,082 and 211,755 is: 296,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,082 : 211,755 = 211,755 : x
  2. Step 2: Convert to fraction form
    151,082/211,755 = 211,755/x
  3. Step 3: Cross multiply
    151,082x = 211,755 × 211,755
  4. Step 4: Simplify right side
    151,082x = 44,840,180,025
  5. Step 5: Solve for x
    x = 44,840,180,025/151,082
  6. Step 6: Final answer
    x = 296,793.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.