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Finding the Third Proportional to 177,858 and 271,304

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Solution

The third proportional to 177,858 and 271,304 is: 413,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858 : 271,304 = 271,304 : x
  2. Step 2: Convert to fraction form
    177,858/271,304 = 271,304/x
  3. Step 3: Cross multiply
    177,858x = 271,304 × 271,304
  4. Step 4: Simplify right side
    177,858x = 73,605,860,416
  5. Step 5: Solve for x
    x = 73,605,860,416/177,858
  6. Step 6: Final answer
    x = 413,846.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.