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Finding the Third Proportional to 116,277 and 251,143.50

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Solution

The third proportional to 116,277 and 251,143.50 is: 542,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,277 : 251,143.50 = 251,143.50 : x
  2. Step 2: Convert to fraction form
    116,277/251,143.50 = 251,143.50/x
  3. Step 3: Cross multiply
    116,277x = 251,143.50 × 251,143.50
  4. Step 4: Simplify right side
    116,277x = 63,073,057,592.25
  5. Step 5: Solve for x
    x = 63,073,057,592.25/116,277
  6. Step 6: Final answer
    x = 542,437.95

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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.