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Finding the Third Proportional to 101,918.25 and 239,807.25

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Solution

The third proportional to 101,918.25 and 239,807.25 is: 564,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,918.25 : 239,807.25 = 239,807.25 : x
  2. Step 2: Convert to fraction form
    101,918.25/239,807.25 = 239,807.25/x
  3. Step 3: Cross multiply
    101,918.25x = 239,807.25 × 239,807.25
  4. Step 4: Simplify right side
    101,918.25x = 57,507,517,152.56
  5. Step 5: Solve for x
    x = 57,507,517,152.56/101,918.25
  6. Step 6: Final answer
    x = 564,251.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.