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Finding the Third Proportional to 164,639 and 246,544

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Solution

The third proportional to 164,639 and 246,544 is: 369,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,639 : 246,544 = 246,544 : x
  2. Step 2: Convert to fraction form
    164,639/246,544 = 246,544/x
  3. Step 3: Cross multiply
    164,639x = 246,544 × 246,544
  4. Step 4: Simplify right side
    164,639x = 60,783,943,936
  5. Step 5: Solve for x
    x = 60,783,943,936/164,639
  6. Step 6: Final answer
    x = 369,195.29

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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.