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Finding the Third Proportional to 170,416 and 259,164.75

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Solution

The third proportional to 170,416 and 259,164.75 is: 394,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,416 : 259,164.75 = 259,164.75 : x
  2. Step 2: Convert to fraction form
    170,416/259,164.75 = 259,164.75/x
  3. Step 3: Cross multiply
    170,416x = 259,164.75 × 259,164.75
  4. Step 4: Simplify right side
    170,416x = 67,166,367,642.56
  5. Step 5: Solve for x
    x = 67,166,367,642.56/170,416
  6. Step 6: Final answer
    x = 394,131.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.