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Finding the Third Proportional to 113,317 and 236,056

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Solution

The third proportional to 113,317 and 236,056 is: 491,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,317 : 236,056 = 236,056 : x
  2. Step 2: Convert to fraction form
    113,317/236,056 = 236,056/x
  3. Step 3: Cross multiply
    113,317x = 236,056 × 236,056
  4. Step 4: Simplify right side
    113,317x = 55,722,435,136
  5. Step 5: Solve for x
    x = 55,722,435,136/113,317
  6. Step 6: Final answer
    x = 491,739.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.