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Finding the Third Proportional to 171,451.69 and 259,296.19

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Solution

The third proportional to 171,451.69 and 259,296.19 is: 392,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 259,296.19 = 259,296.19 : x
  2. Step 2: Convert to fraction form
    171,451.69/259,296.19 = 259,296.19/x
  3. Step 3: Cross multiply
    171,451.69x = 259,296.19 × 259,296.19
  4. Step 4: Simplify right side
    171,451.69x = 67,234,512,852.04
  5. Step 5: Solve for x
    x = 67,234,512,852.04/171,451.69
  6. Step 6: Final answer
    x = 392,148.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.