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Finding the Third Proportional to 127,986 and 279,299.25

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Solution

The third proportional to 127,986 and 279,299.25 is: 609,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986 : 279,299.25 = 279,299.25 : x
  2. Step 2: Convert to fraction form
    127,986/279,299.25 = 279,299.25/x
  3. Step 3: Cross multiply
    127,986x = 279,299.25 × 279,299.25
  4. Step 4: Simplify right side
    127,986x = 78,008,071,050.56
  5. Step 5: Solve for x
    x = 78,008,071,050.56/127,986
  6. Step 6: Final answer
    x = 609,504.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.