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Finding the Third Proportional to 160,775 and 343,696

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Solution

The third proportional to 160,775 and 343,696 is: 734,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775 : 343,696 = 343,696 : x
  2. Step 2: Convert to fraction form
    160,775/343,696 = 343,696/x
  3. Step 3: Cross multiply
    160,775x = 343,696 × 343,696
  4. Step 4: Simplify right side
    160,775x = 118,126,940,416
  5. Step 5: Solve for x
    x = 118,126,940,416/160,775
  6. Step 6: Final answer
    x = 734,734.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.