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Finding the Third Proportional to 177,924 and 254,834

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Solution

The third proportional to 177,924 and 254,834 is: 364,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,924 : 254,834 = 254,834 : x
  2. Step 2: Convert to fraction form
    177,924/254,834 = 254,834/x
  3. Step 3: Cross multiply
    177,924x = 254,834 × 254,834
  4. Step 4: Simplify right side
    177,924x = 64,940,367,556
  5. Step 5: Solve for x
    x = 64,940,367,556/177,924
  6. Step 6: Final answer
    x = 364,989.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.