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Finding the Third Proportional to 177,192 and 255,852

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Solution

The third proportional to 177,192 and 255,852 is: 369,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,192 : 255,852 = 255,852 : x
  2. Step 2: Convert to fraction form
    177,192/255,852 = 255,852/x
  3. Step 3: Cross multiply
    177,192x = 255,852 × 255,852
  4. Step 4: Simplify right side
    177,192x = 65,460,245,904
  5. Step 5: Solve for x
    x = 65,460,245,904/177,192
  6. Step 6: Final answer
    x = 369,431.16

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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.