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Finding the Third Proportional to 177,645 and 273,057

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Solution

The third proportional to 177,645 and 273,057 is: 419,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,645 : 273,057 = 273,057 : x
  2. Step 2: Convert to fraction form
    177,645/273,057 = 273,057/x
  3. Step 3: Cross multiply
    177,645x = 273,057 × 273,057
  4. Step 4: Simplify right side
    177,645x = 74,560,125,249
  5. Step 5: Solve for x
    x = 74,560,125,249/177,645
  6. Step 6: Final answer
    x = 419,714.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.