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Finding the Third Proportional to 80,805 and 165,618

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Solution

The third proportional to 80,805 and 165,618 is: 339,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,805 : 165,618 = 165,618 : x
  2. Step 2: Convert to fraction form
    80,805/165,618 = 165,618/x
  3. Step 3: Cross multiply
    80,805x = 165,618 × 165,618
  4. Step 4: Simplify right side
    80,805x = 27,429,321,924
  5. Step 5: Solve for x
    x = 27,429,321,924/80,805
  6. Step 6: Final answer
    x = 339,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.