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Finding the Third Proportional to 161,856 and 353,208

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Solution

The third proportional to 161,856 and 353,208 is: 770,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,856 : 353,208 = 353,208 : x
  2. Step 2: Convert to fraction form
    161,856/353,208 = 353,208/x
  3. Step 3: Cross multiply
    161,856x = 353,208 × 353,208
  4. Step 4: Simplify right side
    161,856x = 124,755,891,264
  5. Step 5: Solve for x
    x = 124,755,891,264/161,856
  6. Step 6: Final answer
    x = 770,783.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.