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Finding the Third Proportional to 170,448 and 260,208

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Solution

The third proportional to 170,448 and 260,208 is: 397,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,448 : 260,208 = 260,208 : x
  2. Step 2: Convert to fraction form
    170,448/260,208 = 260,208/x
  3. Step 3: Cross multiply
    170,448x = 260,208 × 260,208
  4. Step 4: Simplify right side
    170,448x = 67,708,203,264
  5. Step 5: Solve for x
    x = 67,708,203,264/170,448
  6. Step 6: Final answer
    x = 397,236.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.