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Finding the Third Proportional to 179,124 and 279,582

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Solution

The third proportional to 179,124 and 279,582 is: 436,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,124 : 279,582 = 279,582 : x
  2. Step 2: Convert to fraction form
    179,124/279,582 = 279,582/x
  3. Step 3: Cross multiply
    179,124x = 279,582 × 279,582
  4. Step 4: Simplify right side
    179,124x = 78,166,094,724
  5. Step 5: Solve for x
    x = 78,166,094,724/179,124
  6. Step 6: Final answer
    x = 436,379.80

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