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Finding the Third Proportional to 131,499 and 213,640.50

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Solution

The third proportional to 131,499 and 213,640.50 is: 347,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,499 : 213,640.50 = 213,640.50 : x
  2. Step 2: Convert to fraction form
    131,499/213,640.50 = 213,640.50/x
  3. Step 3: Cross multiply
    131,499x = 213,640.50 × 213,640.50
  4. Step 4: Simplify right side
    131,499x = 45,642,263,240.25
  5. Step 5: Solve for x
    x = 45,642,263,240.25/131,499
  6. Step 6: Final answer
    x = 347,092.09

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.