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Finding the Third Proportional to 119,477 and 182,982

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Solution

The third proportional to 119,477 and 182,982 is: 280,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,477 : 182,982 = 182,982 : x
  2. Step 2: Convert to fraction form
    119,477/182,982 = 182,982/x
  3. Step 3: Cross multiply
    119,477x = 182,982 × 182,982
  4. Step 4: Simplify right side
    119,477x = 33,482,412,324
  5. Step 5: Solve for x
    x = 33,482,412,324/119,477
  6. Step 6: Final answer
    x = 280,241.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.