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Finding the Third Proportional to 177,522.75 and 285,563.25

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Solution

The third proportional to 177,522.75 and 285,563.25 is: 459,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,522.75 : 285,563.25 = 285,563.25 : x
  2. Step 2: Convert to fraction form
    177,522.75/285,563.25 = 285,563.25/x
  3. Step 3: Cross multiply
    177,522.75x = 285,563.25 × 285,563.25
  4. Step 4: Simplify right side
    177,522.75x = 81,546,369,750.56
  5. Step 5: Solve for x
    x = 81,546,369,750.56/177,522.75
  6. Step 6: Final answer
    x = 459,357.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.