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Finding the Third Proportional to 179,134 and 279,595

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Solution

The third proportional to 179,134 and 279,595 is: 436,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,134 : 279,595 = 279,595 : x
  2. Step 2: Convert to fraction form
    179,134/279,595 = 279,595/x
  3. Step 3: Cross multiply
    179,134x = 279,595 × 279,595
  4. Step 4: Simplify right side
    179,134x = 78,173,364,025
  5. Step 5: Solve for x
    x = 78,173,364,025/179,134
  6. Step 6: Final answer
    x = 436,396.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.