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Finding the Third Proportional to 177,579 and 268,204.50

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Solution

The third proportional to 177,579 and 268,204.50 is: 405,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,579 : 268,204.50 = 268,204.50 : x
  2. Step 2: Convert to fraction form
    177,579/268,204.50 = 268,204.50/x
  3. Step 3: Cross multiply
    177,579x = 268,204.50 × 268,204.50
  4. Step 4: Simplify right side
    177,579x = 71,933,653,820.25
  5. Step 5: Solve for x
    x = 71,933,653,820.25/177,579
  6. Step 6: Final answer
    x = 405,079.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.