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Finding the Third Proportional to 185,528.50 and 281,833

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Solution

The third proportional to 185,528.50 and 281,833 is: 428,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,528.50 : 281,833 = 281,833 : x
  2. Step 2: Convert to fraction form
    185,528.50/281,833 = 281,833/x
  3. Step 3: Cross multiply
    185,528.50x = 281,833 × 281,833
  4. Step 4: Simplify right side
    185,528.50x = 79,429,839,889
  5. Step 5: Solve for x
    x = 79,429,839,889/185,528.50
  6. Step 6: Final answer
    x = 428,127.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.