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Finding the Third Proportional to 131,687 and 310,738.50

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Solution

The third proportional to 131,687 and 310,738.50 is: 733,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,687 : 310,738.50 = 310,738.50 : x
  2. Step 2: Convert to fraction form
    131,687/310,738.50 = 310,738.50/x
  3. Step 3: Cross multiply
    131,687x = 310,738.50 × 310,738.50
  4. Step 4: Simplify right side
    131,687x = 96,558,415,382.25
  5. Step 5: Solve for x
    x = 96,558,415,382.25/131,687
  6. Step 6: Final answer
    x = 733,241.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.