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Finding the Third Proportional to 179,452 and 243,816

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Solution

The third proportional to 179,452 and 243,816 is: 331,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,452 : 243,816 = 243,816 : x
  2. Step 2: Convert to fraction form
    179,452/243,816 = 243,816/x
  3. Step 3: Cross multiply
    179,452x = 243,816 × 243,816
  4. Step 4: Simplify right side
    179,452x = 59,446,241,856
  5. Step 5: Solve for x
    x = 59,446,241,856/179,452
  6. Step 6: Final answer
    x = 331,265.42

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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.