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Finding the Third Proportional to 161,894 and 330,212

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Solution

The third proportional to 161,894 and 330,212 is: 673,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,894 : 330,212 = 330,212 : x
  2. Step 2: Convert to fraction form
    161,894/330,212 = 330,212/x
  3. Step 3: Cross multiply
    161,894x = 330,212 × 330,212
  4. Step 4: Simplify right side
    161,894x = 109,039,964,944
  5. Step 5: Solve for x
    x = 109,039,964,944/161,894
  6. Step 6: Final answer
    x = 673,526.91

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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.