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Finding the Third Proportional to 131,036 and 283,494.50

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Solution

The third proportional to 131,036 and 283,494.50 is: 613,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,036 : 283,494.50 = 283,494.50 : x
  2. Step 2: Convert to fraction form
    131,036/283,494.50 = 283,494.50/x
  3. Step 3: Cross multiply
    131,036x = 283,494.50 × 283,494.50
  4. Step 4: Simplify right side
    131,036x = 80,369,131,530.25
  5. Step 5: Solve for x
    x = 80,369,131,530.25/131,036
  6. Step 6: Final answer
    x = 613,336.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.