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Finding the Third Proportional to 164,760 and 246,573

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Solution

The third proportional to 164,760 and 246,573 is: 369,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760 : 246,573 = 246,573 : x
  2. Step 2: Convert to fraction form
    164,760/246,573 = 246,573/x
  3. Step 3: Cross multiply
    164,760x = 246,573 × 246,573
  4. Step 4: Simplify right side
    164,760x = 60,798,244,329
  5. Step 5: Solve for x
    x = 60,798,244,329/164,760
  6. Step 6: Final answer
    x = 369,010.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.