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Finding the Third Proportional to 182,524.50 and 281,292.75

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Solution

The third proportional to 182,524.50 and 281,292.75 is: 433,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,524.50 : 281,292.75 = 281,292.75 : x
  2. Step 2: Convert to fraction form
    182,524.50/281,292.75 = 281,292.75/x
  3. Step 3: Cross multiply
    182,524.50x = 281,292.75 × 281,292.75
  4. Step 4: Simplify right side
    182,524.50x = 79,125,611,202.56
  5. Step 5: Solve for x
    x = 79,125,611,202.56/182,524.50
  6. Step 6: Final answer
    x = 433,506.80

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