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Finding the Third Proportional to 80,752 and 164,778

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Solution

The third proportional to 80,752 and 164,778 is: 336,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,752 : 164,778 = 164,778 : x
  2. Step 2: Convert to fraction form
    80,752/164,778 = 164,778/x
  3. Step 3: Cross multiply
    80,752x = 164,778 × 164,778
  4. Step 4: Simplify right side
    80,752x = 27,151,789,284
  5. Step 5: Solve for x
    x = 27,151,789,284/80,752
  6. Step 6: Final answer
    x = 336,236.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.