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Finding the Third Proportional to 193,954.50 and 411,231

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Solution

The third proportional to 193,954.50 and 411,231 is: 871,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,954.50 : 411,231 = 411,231 : x
  2. Step 2: Convert to fraction form
    193,954.50/411,231 = 411,231/x
  3. Step 3: Cross multiply
    193,954.50x = 411,231 × 411,231
  4. Step 4: Simplify right side
    193,954.50x = 169,110,935,361
  5. Step 5: Solve for x
    x = 169,110,935,361/193,954.50
  6. Step 6: Final answer
    x = 871,910.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.