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Finding the Third Proportional to 97,958 and 204,394

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Solution

The third proportional to 97,958 and 204,394 is: 426,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,958 : 204,394 = 204,394 : x
  2. Step 2: Convert to fraction form
    97,958/204,394 = 204,394/x
  3. Step 3: Cross multiply
    97,958x = 204,394 × 204,394
  4. Step 4: Simplify right side
    97,958x = 41,776,907,236
  5. Step 5: Solve for x
    x = 41,776,907,236/97,958
  6. Step 6: Final answer
    x = 426,477.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.