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Finding the Third Proportional to 168,510 and 357,801

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Solution

The third proportional to 168,510 and 357,801 is: 759,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,510 : 357,801 = 357,801 : x
  2. Step 2: Convert to fraction form
    168,510/357,801 = 357,801/x
  3. Step 3: Cross multiply
    168,510x = 357,801 × 357,801
  4. Step 4: Simplify right side
    168,510x = 128,021,555,601
  5. Step 5: Solve for x
    x = 128,021,555,601/168,510
  6. Step 6: Final answer
    x = 759,726.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.