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Finding the Third Proportional to 182,212 and 254,796

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Solution

The third proportional to 182,212 and 254,796 is: 356,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,212 : 254,796 = 254,796 : x
  2. Step 2: Convert to fraction form
    182,212/254,796 = 254,796/x
  3. Step 3: Cross multiply
    182,212x = 254,796 × 254,796
  4. Step 4: Simplify right side
    182,212x = 64,921,001,616
  5. Step 5: Solve for x
    x = 64,921,001,616/182,212
  6. Step 6: Final answer
    x = 356,293.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.