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Finding the Third Proportional to 127,369.97 and 260,270.09

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Solution

The third proportional to 127,369.97 and 260,270.09 is: 531,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,369.97 : 260,270.09 = 260,270.09 : x
  2. Step 2: Convert to fraction form
    127,369.97/260,270.09 = 260,270.09/x
  3. Step 3: Cross multiply
    127,369.97x = 260,270.09 × 260,270.09
  4. Step 4: Simplify right side
    127,369.97x = 67,740,517,633.91
  5. Step 5: Solve for x
    x = 67,740,517,633.91/127,369.97
  6. Step 6: Final answer
    x = 531,840.58

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.