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Finding the Third Proportional to 170,976 and 265,422

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Solution

The third proportional to 170,976 and 265,422 is: 412,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,976 : 265,422 = 265,422 : x
  2. Step 2: Convert to fraction form
    170,976/265,422 = 265,422/x
  3. Step 3: Cross multiply
    170,976x = 265,422 × 265,422
  4. Step 4: Simplify right side
    170,976x = 70,448,838,084
  5. Step 5: Solve for x
    x = 70,448,838,084/170,976
  6. Step 6: Final answer
    x = 412,039.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.