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Finding the Third Proportional to 170,976 and 265,416

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Solution

The third proportional to 170,976 and 265,416 is: 412,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,976 : 265,416 = 265,416 : x
  2. Step 2: Convert to fraction form
    170,976/265,416 = 265,416/x
  3. Step 3: Cross multiply
    170,976x = 265,416 × 265,416
  4. Step 4: Simplify right side
    170,976x = 70,445,653,056
  5. Step 5: Solve for x
    x = 70,445,653,056/170,976
  6. Step 6: Final answer
    x = 412,020.71

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Why These Related Problems?

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