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Finding the Third Proportional to 197,895 and 440,082

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Solution

The third proportional to 197,895 and 440,082 is: 978,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,895 : 440,082 = 440,082 : x
  2. Step 2: Convert to fraction form
    197,895/440,082 = 440,082/x
  3. Step 3: Cross multiply
    197,895x = 440,082 × 440,082
  4. Step 4: Simplify right side
    197,895x = 193,672,166,724
  5. Step 5: Solve for x
    x = 193,672,166,724/197,895
  6. Step 6: Final answer
    x = 978,661.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.