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Finding the Third Proportional to 184,075 and 279,757

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Solution

The third proportional to 184,075 and 279,757 is: 425,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,075 : 279,757 = 279,757 : x
  2. Step 2: Convert to fraction form
    184,075/279,757 = 279,757/x
  3. Step 3: Cross multiply
    184,075x = 279,757 × 279,757
  4. Step 4: Simplify right side
    184,075x = 78,263,979,049
  5. Step 5: Solve for x
    x = 78,263,979,049/184,075
  6. Step 6: Final answer
    x = 425,174.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.