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Finding the Third Proportional to 197,505 and 303,381

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Solution

The third proportional to 197,505 and 303,381 is: 466,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,505 : 303,381 = 303,381 : x
  2. Step 2: Convert to fraction form
    197,505/303,381 = 303,381/x
  3. Step 3: Cross multiply
    197,505x = 303,381 × 303,381
  4. Step 4: Simplify right side
    197,505x = 92,040,031,161
  5. Step 5: Solve for x
    x = 92,040,031,161/197,505
  6. Step 6: Final answer
    x = 466,013.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.