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Finding the Third Proportional to 182,113.50 and 285,057.56

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Solution

The third proportional to 182,113.50 and 285,057.56 is: 446,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,113.50 : 285,057.56 = 285,057.56 : x
  2. Step 2: Convert to fraction form
    182,113.50/285,057.56 = 285,057.56/x
  3. Step 3: Cross multiply
    182,113.50x = 285,057.56 × 285,057.56
  4. Step 4: Simplify right side
    182,113.50x = 81,257,813,938.44
  5. Step 5: Solve for x
    x = 81,257,813,938.44/182,113.50
  6. Step 6: Final answer
    x = 446,193.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.