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Finding the Third Proportional to 194,135 and 415,258

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Solution

The third proportional to 194,135 and 415,258 is: 888,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,135 : 415,258 = 415,258 : x
  2. Step 2: Convert to fraction form
    194,135/415,258 = 415,258/x
  3. Step 3: Cross multiply
    194,135x = 415,258 × 415,258
  4. Step 4: Simplify right side
    194,135x = 172,439,206,564
  5. Step 5: Solve for x
    x = 172,439,206,564/194,135
  6. Step 6: Final answer
    x = 888,243.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.