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Finding the Third Proportional to 198,012 and 262,566

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Solution

The third proportional to 198,012 and 262,566 is: 348,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,012 : 262,566 = 262,566 : x
  2. Step 2: Convert to fraction form
    198,012/262,566 = 262,566/x
  3. Step 3: Cross multiply
    198,012x = 262,566 × 262,566
  4. Step 4: Simplify right side
    198,012x = 68,940,904,356
  5. Step 5: Solve for x
    x = 68,940,904,356/198,012
  6. Step 6: Final answer
    x = 348,165.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.