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Finding the Third Proportional to 182,000 and 278,796

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Solution

The third proportional to 182,000 and 278,796 is: 427,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,000 : 278,796 = 278,796 : x
  2. Step 2: Convert to fraction form
    182,000/278,796 = 278,796/x
  3. Step 3: Cross multiply
    182,000x = 278,796 × 278,796
  4. Step 4: Simplify right side
    182,000x = 77,727,209,616
  5. Step 5: Solve for x
    x = 77,727,209,616/182,000
  6. Step 6: Final answer
    x = 427,072.58

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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.