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Finding the Third Proportional to 168,352 and 371,696

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Solution

The third proportional to 168,352 and 371,696 is: 820,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,352 : 371,696 = 371,696 : x
  2. Step 2: Convert to fraction form
    168,352/371,696 = 371,696/x
  3. Step 3: Cross multiply
    168,352x = 371,696 × 371,696
  4. Step 4: Simplify right side
    168,352x = 138,157,916,416
  5. Step 5: Solve for x
    x = 138,157,916,416/168,352
  6. Step 6: Final answer
    x = 820,649.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.