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Finding the Third Proportional to 166,618 and 362,818

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Solution

The third proportional to 166,618 and 362,818 is: 790,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,618 : 362,818 = 362,818 : x
  2. Step 2: Convert to fraction form
    166,618/362,818 = 362,818/x
  3. Step 3: Cross multiply
    166,618x = 362,818 × 362,818
  4. Step 4: Simplify right side
    166,618x = 131,636,901,124
  5. Step 5: Solve for x
    x = 131,636,901,124/166,618
  6. Step 6: Final answer
    x = 790,052.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.