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Finding the Third Proportional to 177,124 and 265,878

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Solution

The third proportional to 177,124 and 265,878 is: 399,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,124 : 265,878 = 265,878 : x
  2. Step 2: Convert to fraction form
    177,124/265,878 = 265,878/x
  3. Step 3: Cross multiply
    177,124x = 265,878 × 265,878
  4. Step 4: Simplify right side
    177,124x = 70,691,110,884
  5. Step 5: Solve for x
    x = 70,691,110,884/177,124
  6. Step 6: Final answer
    x = 399,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.