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Finding the Third Proportional to 161,896 and 330,214

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Solution

The third proportional to 161,896 and 330,214 is: 673,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,896 : 330,214 = 330,214 : x
  2. Step 2: Convert to fraction form
    161,896/330,214 = 330,214/x
  3. Step 3: Cross multiply
    161,896x = 330,214 × 330,214
  4. Step 4: Simplify right side
    161,896x = 109,041,285,796
  5. Step 5: Solve for x
    x = 109,041,285,796/161,896
  6. Step 6: Final answer
    x = 673,526.74

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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.