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Finding the Third Proportional to 269,181 and 392,086

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Solution

The third proportional to 269,181 and 392,086 is: 571,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,181 : 392,086 = 392,086 : x
  2. Step 2: Convert to fraction form
    269,181/392,086 = 392,086/x
  3. Step 3: Cross multiply
    269,181x = 392,086 × 392,086
  4. Step 4: Simplify right side
    269,181x = 153,731,431,396
  5. Step 5: Solve for x
    x = 153,731,431,396/269,181
  6. Step 6: Final answer
    x = 571,108.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.