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Finding the Third Proportional to 182,091 and 397,392

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Solution

The third proportional to 182,091 and 397,392 is: 867,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,091 : 397,392 = 397,392 : x
  2. Step 2: Convert to fraction form
    182,091/397,392 = 397,392/x
  3. Step 3: Cross multiply
    182,091x = 397,392 × 397,392
  4. Step 4: Simplify right side
    182,091x = 157,920,401,664
  5. Step 5: Solve for x
    x = 157,920,401,664/182,091
  6. Step 6: Final answer
    x = 867,260.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.