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Finding the Third Proportional to 133,215 and 197,793

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Solution

The third proportional to 133,215 and 197,793 is: 293,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,215 : 197,793 = 197,793 : x
  2. Step 2: Convert to fraction form
    133,215/197,793 = 197,793/x
  3. Step 3: Cross multiply
    133,215x = 197,793 × 197,793
  4. Step 4: Simplify right side
    133,215x = 39,122,070,849
  5. Step 5: Solve for x
    x = 39,122,070,849/133,215
  6. Step 6: Final answer
    x = 293,676.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.