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Finding the Third Proportional to 185,541.75 and 281,836.13

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Solution

The third proportional to 185,541.75 and 281,836.13 is: 428,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,541.75 : 281,836.13 = 281,836.13 : x
  2. Step 2: Convert to fraction form
    185,541.75/281,836.13 = 281,836.13/x
  3. Step 3: Cross multiply
    185,541.75x = 281,836.13 × 281,836.13
  4. Step 4: Simplify right side
    185,541.75x = 79,431,601,355.02
  5. Step 5: Solve for x
    x = 79,431,601,355.02/185,541.75
  6. Step 6: Final answer
    x = 428,106.35

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Why These Related Problems?

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