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Finding the Third Proportional to 76,384 and 164,052

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Solution

The third proportional to 76,384 and 164,052 is: 352,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,384 : 164,052 = 164,052 : x
  2. Step 2: Convert to fraction form
    76,384/164,052 = 164,052/x
  3. Step 3: Cross multiply
    76,384x = 164,052 × 164,052
  4. Step 4: Simplify right side
    76,384x = 26,913,058,704
  5. Step 5: Solve for x
    x = 26,913,058,704/76,384
  6. Step 6: Final answer
    x = 352,338.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.