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Finding the Third Proportional to 177,579 and 268,211.25

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Solution

The third proportional to 177,579 and 268,211.25 is: 405,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,579 : 268,211.25 = 268,211.25 : x
  2. Step 2: Convert to fraction form
    177,579/268,211.25 = 268,211.25/x
  3. Step 3: Cross multiply
    177,579x = 268,211.25 × 268,211.25
  4. Step 4: Simplify right side
    177,579x = 71,937,274,626.56
  5. Step 5: Solve for x
    x = 71,937,274,626.56/177,579
  6. Step 6: Final answer
    x = 405,100.12

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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.