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Finding the Third Proportional to 161,892 and 330,208

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Solution

The third proportional to 161,892 and 330,208 is: 673,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892 : 330,208 = 330,208 : x
  2. Step 2: Convert to fraction form
    161,892/330,208 = 330,208/x
  3. Step 3: Cross multiply
    161,892x = 330,208 × 330,208
  4. Step 4: Simplify right side
    161,892x = 109,037,323,264
  5. Step 5: Solve for x
    x = 109,037,323,264/161,892
  6. Step 6: Final answer
    x = 673,518.91

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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.