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Finding the Third Proportional to 202,082 and 440,144

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Solution

The third proportional to 202,082 and 440,144 is: 958,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082 : 440,144 = 440,144 : x
  2. Step 2: Convert to fraction form
    202,082/440,144 = 440,144/x
  3. Step 3: Cross multiply
    202,082x = 440,144 × 440,144
  4. Step 4: Simplify right side
    202,082x = 193,726,740,736
  5. Step 5: Solve for x
    x = 193,726,740,736/202,082
  6. Step 6: Final answer
    x = 958,654.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.