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Finding the Third Proportional to 161,006 and 353,884

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Solution

The third proportional to 161,006 and 353,884 is: 777,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,006 : 353,884 = 353,884 : x
  2. Step 2: Convert to fraction form
    161,006/353,884 = 353,884/x
  3. Step 3: Cross multiply
    161,006x = 353,884 × 353,884
  4. Step 4: Simplify right side
    161,006x = 125,233,885,456
  5. Step 5: Solve for x
    x = 125,233,885,456/161,006
  6. Step 6: Final answer
    x = 777,821.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.