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Finding the Third Proportional to 166,618 and 365,816

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Solution

The third proportional to 166,618 and 365,816 is: 803,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,618 : 365,816 = 365,816 : x
  2. Step 2: Convert to fraction form
    166,618/365,816 = 365,816/x
  3. Step 3: Cross multiply
    166,618x = 365,816 × 365,816
  4. Step 4: Simplify right side
    166,618x = 133,821,345,856
  5. Step 5: Solve for x
    x = 133,821,345,856/166,618
  6. Step 6: Final answer
    x = 803,162.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.