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Finding the Third Proportional to 131,774.50 and 283,562

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Solution

The third proportional to 131,774.50 and 283,562 is: 610,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,774.50 : 283,562 = 283,562 : x
  2. Step 2: Convert to fraction form
    131,774.50/283,562 = 283,562/x
  3. Step 3: Cross multiply
    131,774.50x = 283,562 × 283,562
  4. Step 4: Simplify right side
    131,774.50x = 80,407,407,844
  5. Step 5: Solve for x
    x = 80,407,407,844/131,774.50
  6. Step 6: Final answer
    x = 610,189.44

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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.