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Finding the Third Proportional to 161,866 and 330,152

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Solution

The third proportional to 161,866 and 330,152 is: 673,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,866 : 330,152 = 330,152 : x
  2. Step 2: Convert to fraction form
    161,866/330,152 = 330,152/x
  3. Step 3: Cross multiply
    161,866x = 330,152 × 330,152
  4. Step 4: Simplify right side
    161,866x = 109,000,343,104
  5. Step 5: Solve for x
    x = 109,000,343,104/161,866
  6. Step 6: Final answer
    x = 673,398.63

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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.