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Finding the Third Proportional to 195,599.81 and 284,173.31

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Solution

The third proportional to 195,599.81 and 284,173.31 is: 412,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,599.81 : 284,173.31 = 284,173.31 : x
  2. Step 2: Convert to fraction form
    195,599.81/284,173.31 = 284,173.31/x
  3. Step 3: Cross multiply
    195,599.81x = 284,173.31 × 284,173.31
  4. Step 4: Simplify right side
    195,599.81x = 80,754,471,537.22
  5. Step 5: Solve for x
    x = 80,754,471,537.22/195,599.81
  6. Step 6: Final answer
    x = 412,855.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.