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Finding the Third Proportional to 80,748 and 164,770

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Solution

The third proportional to 80,748 and 164,770 is: 336,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748 : 164,770 = 164,770 : x
  2. Step 2: Convert to fraction form
    80,748/164,770 = 164,770/x
  3. Step 3: Cross multiply
    80,748x = 164,770 × 164,770
  4. Step 4: Simplify right side
    80,748x = 27,149,152,900
  5. Step 5: Solve for x
    x = 27,149,152,900/80,748
  6. Step 6: Final answer
    x = 336,220.75

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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.