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Finding the Third Proportional to 113,216.25 and 239,918.25

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Solution

The third proportional to 113,216.25 and 239,918.25 is: 508,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,216.25 : 239,918.25 = 239,918.25 : x
  2. Step 2: Convert to fraction form
    113,216.25/239,918.25 = 239,918.25/x
  3. Step 3: Cross multiply
    113,216.25x = 239,918.25 × 239,918.25
  4. Step 4: Simplify right side
    113,216.25x = 57,560,766,683.06
  5. Step 5: Solve for x
    x = 57,560,766,683.06/113,216.25
  6. Step 6: Final answer
    x = 508,414.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.