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Finding the Third Proportional to 203,944 and 286,686

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Solution

The third proportional to 203,944 and 286,686 is: 402,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,944 : 286,686 = 286,686 : x
  2. Step 2: Convert to fraction form
    203,944/286,686 = 286,686/x
  3. Step 3: Cross multiply
    203,944x = 286,686 × 286,686
  4. Step 4: Simplify right side
    203,944x = 82,188,862,596
  5. Step 5: Solve for x
    x = 82,188,862,596/203,944
  6. Step 6: Final answer
    x = 402,997.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.