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Finding the Third Proportional to 168,830 and 369,028

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Solution

The third proportional to 168,830 and 369,028 is: 806,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,830 : 369,028 = 369,028 : x
  2. Step 2: Convert to fraction form
    168,830/369,028 = 369,028/x
  3. Step 3: Cross multiply
    168,830x = 369,028 × 369,028
  4. Step 4: Simplify right side
    168,830x = 136,181,664,784
  5. Step 5: Solve for x
    x = 136,181,664,784/168,830
  6. Step 6: Final answer
    x = 806,620.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.