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Finding the Third Proportional to 131,775.50 and 283,564

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Solution

The third proportional to 131,775.50 and 283,564 is: 610,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,775.50 : 283,564 = 283,564 : x
  2. Step 2: Convert to fraction form
    131,775.50/283,564 = 283,564/x
  3. Step 3: Cross multiply
    131,775.50x = 283,564 × 283,564
  4. Step 4: Simplify right side
    131,775.50x = 80,408,542,096
  5. Step 5: Solve for x
    x = 80,408,542,096/131,775.50
  6. Step 6: Final answer
    x = 610,193.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.