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Finding the Third Proportional to 164,601 and 221,143

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Solution

The third proportional to 164,601 and 221,143 is: 297,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,601 : 221,143 = 221,143 : x
  2. Step 2: Convert to fraction form
    164,601/221,143 = 221,143/x
  3. Step 3: Cross multiply
    164,601x = 221,143 × 221,143
  4. Step 4: Simplify right side
    164,601x = 48,904,226,449
  5. Step 5: Solve for x
    x = 48,904,226,449/164,601
  6. Step 6: Final answer
    x = 297,107.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.