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Finding the Third Proportional to 169,802 and 364,660

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Solution

The third proportional to 169,802 and 364,660 is: 783,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,802 : 364,660 = 364,660 : x
  2. Step 2: Convert to fraction form
    169,802/364,660 = 364,660/x
  3. Step 3: Cross multiply
    169,802x = 364,660 × 364,660
  4. Step 4: Simplify right side
    169,802x = 132,976,915,600
  5. Step 5: Solve for x
    x = 132,976,915,600/169,802
  6. Step 6: Final answer
    x = 783,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.