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Finding the Third Proportional to 164,702 and 246,337

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Solution

The third proportional to 164,702 and 246,337 is: 368,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,702 : 246,337 = 246,337 : x
  2. Step 2: Convert to fraction form
    164,702/246,337 = 246,337/x
  3. Step 3: Cross multiply
    164,702x = 246,337 × 246,337
  4. Step 4: Simplify right side
    164,702x = 60,681,917,569
  5. Step 5: Solve for x
    x = 60,681,917,569/164,702
  6. Step 6: Final answer
    x = 368,434.61

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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.