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Finding the Third Proportional to 203,986 and 286,747

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Solution

The third proportional to 203,986 and 286,747 is: 403,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,986 : 286,747 = 286,747 : x
  2. Step 2: Convert to fraction form
    203,986/286,747 = 286,747/x
  3. Step 3: Cross multiply
    203,986x = 286,747 × 286,747
  4. Step 4: Simplify right side
    203,986x = 82,223,842,009
  5. Step 5: Solve for x
    x = 82,223,842,009/203,986
  6. Step 6: Final answer
    x = 403,085.71

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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.