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Finding the Third Proportional to 197,560 and 466,163

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Solution

The third proportional to 197,560 and 466,163 is: 1,099,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,560 : 466,163 = 466,163 : x
  2. Step 2: Convert to fraction form
    197,560/466,163 = 466,163/x
  3. Step 3: Cross multiply
    197,560x = 466,163 × 466,163
  4. Step 4: Simplify right side
    197,560x = 217,307,942,569
  5. Step 5: Solve for x
    x = 217,307,942,569/197,560
  6. Step 6: Final answer
    x = 1,099,959.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.