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Finding the Third Proportional to 140,082 and 323,961

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Solution

The third proportional to 140,082 and 323,961 is: 749,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,082 : 323,961 = 323,961 : x
  2. Step 2: Convert to fraction form
    140,082/323,961 = 323,961/x
  3. Step 3: Cross multiply
    140,082x = 323,961 × 323,961
  4. Step 4: Simplify right side
    140,082x = 104,950,729,521
  5. Step 5: Solve for x
    x = 104,950,729,521/140,082
  6. Step 6: Final answer
    x = 749,209.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.