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Finding the Third Proportional to 164,766 and 246,582

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Solution

The third proportional to 164,766 and 246,582 is: 369,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,766 : 246,582 = 246,582 : x
  2. Step 2: Convert to fraction form
    164,766/246,582 = 246,582/x
  3. Step 3: Cross multiply
    164,766x = 246,582 × 246,582
  4. Step 4: Simplify right side
    164,766x = 60,802,682,724
  5. Step 5: Solve for x
    x = 60,802,682,724/164,766
  6. Step 6: Final answer
    x = 369,024.45

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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.