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Finding the Third Proportional to 168,703 and 359,264

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Solution

The third proportional to 168,703 and 359,264 is: 765,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,703 : 359,264 = 359,264 : x
  2. Step 2: Convert to fraction form
    168,703/359,264 = 359,264/x
  3. Step 3: Cross multiply
    168,703x = 359,264 × 359,264
  4. Step 4: Simplify right side
    168,703x = 129,070,621,696
  5. Step 5: Solve for x
    x = 129,070,621,696/168,703
  6. Step 6: Final answer
    x = 765,076.03

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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.