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Finding the Third Proportional to 110,648 and 238,792

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Solution

The third proportional to 110,648 and 238,792 is: 515,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,648 : 238,792 = 238,792 : x
  2. Step 2: Convert to fraction form
    110,648/238,792 = 238,792/x
  3. Step 3: Cross multiply
    110,648x = 238,792 × 238,792
  4. Step 4: Simplify right side
    110,648x = 57,021,619,264
  5. Step 5: Solve for x
    x = 57,021,619,264/110,648
  6. Step 6: Final answer
    x = 515,342.52

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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.