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Finding the Third Proportional to 170,794 and 255,261

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Solution

The third proportional to 170,794 and 255,261 is: 381,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,794 : 255,261 = 255,261 : x
  2. Step 2: Convert to fraction form
    170,794/255,261 = 255,261/x
  3. Step 3: Cross multiply
    170,794x = 255,261 × 255,261
  4. Step 4: Simplify right side
    170,794x = 65,158,178,121
  5. Step 5: Solve for x
    x = 65,158,178,121/170,794
  6. Step 6: Final answer
    x = 381,501.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.