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Finding the Third Proportional to 137,515.50 and 283,596.75

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Solution

The third proportional to 137,515.50 and 283,596.75 is: 584,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,515.50 : 283,596.75 = 283,596.75 : x
  2. Step 2: Convert to fraction form
    137,515.50/283,596.75 = 283,596.75/x
  3. Step 3: Cross multiply
    137,515.50x = 283,596.75 × 283,596.75
  4. Step 4: Simplify right side
    137,515.50x = 80,427,116,610.56
  5. Step 5: Solve for x
    x = 80,427,116,610.56/137,515.50
  6. Step 6: Final answer
    x = 584,858.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.