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Finding the Third Proportional to 168,696 and 359,250

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Solution

The third proportional to 168,696 and 359,250 is: 765,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,696 : 359,250 = 359,250 : x
  2. Step 2: Convert to fraction form
    168,696/359,250 = 359,250/x
  3. Step 3: Cross multiply
    168,696x = 359,250 × 359,250
  4. Step 4: Simplify right side
    168,696x = 129,060,562,500
  5. Step 5: Solve for x
    x = 129,060,562,500/168,696
  6. Step 6: Final answer
    x = 765,048.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.