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Finding the Third Proportional to 131,773.50 and 283,560

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Solution

The third proportional to 131,773.50 and 283,560 is: 610,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,773.50 : 283,560 = 283,560 : x
  2. Step 2: Convert to fraction form
    131,773.50/283,560 = 283,560/x
  3. Step 3: Cross multiply
    131,773.50x = 283,560 × 283,560
  4. Step 4: Simplify right side
    131,773.50x = 80,406,273,600
  5. Step 5: Solve for x
    x = 80,406,273,600/131,773.50
  6. Step 6: Final answer
    x = 610,185.46

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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.