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Finding the Third Proportional to 170,956 and 265,396

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Solution

The third proportional to 170,956 and 265,396 is: 412,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,956 : 265,396 = 265,396 : x
  2. Step 2: Convert to fraction form
    170,956/265,396 = 265,396/x
  3. Step 3: Cross multiply
    170,956x = 265,396 × 265,396
  4. Step 4: Simplify right side
    170,956x = 70,435,036,816
  5. Step 5: Solve for x
    x = 70,435,036,816/170,956
  6. Step 6: Final answer
    x = 412,006.81

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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.