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Finding the Third Proportional to 183,556 and 376,993

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Solution

The third proportional to 183,556 and 376,993 is: 774,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 376,993 = 376,993 : x
  2. Step 2: Convert to fraction form
    183,556/376,993 = 376,993/x
  3. Step 3: Cross multiply
    183,556x = 376,993 × 376,993
  4. Step 4: Simplify right side
    183,556x = 142,123,722,049
  5. Step 5: Solve for x
    x = 142,123,722,049/183,556
  6. Step 6: Final answer
    x = 774,279.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.