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Finding the Third Proportional to 161,827 and 330,079

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Solution

The third proportional to 161,827 and 330,079 is: 673,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,827 : 330,079 = 330,079 : x
  2. Step 2: Convert to fraction form
    161,827/330,079 = 330,079/x
  3. Step 3: Cross multiply
    161,827x = 330,079 × 330,079
  4. Step 4: Simplify right side
    161,827x = 108,952,146,241
  5. Step 5: Solve for x
    x = 108,952,146,241/161,827
  6. Step 6: Final answer
    x = 673,263.09

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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.