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Finding the Third Proportional to 177,427 and 255,041

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Solution

The third proportional to 177,427 and 255,041 is: 366,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,427 : 255,041 = 255,041 : x
  2. Step 2: Convert to fraction form
    177,427/255,041 = 255,041/x
  3. Step 3: Cross multiply
    177,427x = 255,041 × 255,041
  4. Step 4: Simplify right side
    177,427x = 65,045,911,681
  5. Step 5: Solve for x
    x = 65,045,911,681/177,427
  6. Step 6: Final answer
    x = 366,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.