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Finding the Third Proportional to 203,948 and 286,692

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Solution

The third proportional to 203,948 and 286,692 is: 403,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,948 : 286,692 = 286,692 : x
  2. Step 2: Convert to fraction form
    203,948/286,692 = 286,692/x
  3. Step 3: Cross multiply
    203,948x = 286,692 × 286,692
  4. Step 4: Simplify right side
    203,948x = 82,192,302,864
  5. Step 5: Solve for x
    x = 82,192,302,864/203,948
  6. Step 6: Final answer
    x = 403,006.17

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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.