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Finding the Third Proportional to 179,458 and 243,825

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Solution

The third proportional to 179,458 and 243,825 is: 331,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,458 : 243,825 = 243,825 : x
  2. Step 2: Convert to fraction form
    179,458/243,825 = 243,825/x
  3. Step 3: Cross multiply
    179,458x = 243,825 × 243,825
  4. Step 4: Simplify right side
    179,458x = 59,450,630,625
  5. Step 5: Solve for x
    x = 59,450,630,625/179,458
  6. Step 6: Final answer
    x = 331,278.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.