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Finding the Third Proportional to 177,264 and 254,823

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Solution

The third proportional to 177,264 and 254,823 is: 366,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,264 : 254,823 = 254,823 : x
  2. Step 2: Convert to fraction form
    177,264/254,823 = 254,823/x
  3. Step 3: Cross multiply
    177,264x = 254,823 × 254,823
  4. Step 4: Simplify right side
    177,264x = 64,934,761,329
  5. Step 5: Solve for x
    x = 64,934,761,329/177,264
  6. Step 6: Final answer
    x = 366,316.69

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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.