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Finding the Third Proportional to 169,336 and 352,686

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Solution

The third proportional to 169,336 and 352,686 is: 734,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,336 : 352,686 = 352,686 : x
  2. Step 2: Convert to fraction form
    169,336/352,686 = 352,686/x
  3. Step 3: Cross multiply
    169,336x = 352,686 × 352,686
  4. Step 4: Simplify right side
    169,336x = 124,387,414,596
  5. Step 5: Solve for x
    x = 124,387,414,596/169,336
  6. Step 6: Final answer
    x = 734,559.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.