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Finding the Third Proportional to 203,181 and 467,289

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Solution

The third proportional to 203,181 and 467,289 is: 1,074,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,181 : 467,289 = 467,289 : x
  2. Step 2: Convert to fraction form
    203,181/467,289 = 467,289/x
  3. Step 3: Cross multiply
    203,181x = 467,289 × 467,289
  4. Step 4: Simplify right side
    203,181x = 218,359,009,521
  5. Step 5: Solve for x
    x = 218,359,009,521/203,181
  6. Step 6: Final answer
    x = 1,074,701.91

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.