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Finding the Third Proportional to 110,422 and 238,338

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Solution

The third proportional to 110,422 and 238,338 is: 514,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422 : 238,338 = 238,338 : x
  2. Step 2: Convert to fraction form
    110,422/238,338 = 238,338/x
  3. Step 3: Cross multiply
    110,422x = 238,338 × 238,338
  4. Step 4: Simplify right side
    110,422x = 56,805,002,244
  5. Step 5: Solve for x
    x = 56,805,002,244/110,422
  6. Step 6: Final answer
    x = 514,435.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.