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Finding the Third Proportional to 110,308 and 238,112

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Solution

The third proportional to 110,308 and 238,112 is: 513,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,308 : 238,112 = 238,112 : x
  2. Step 2: Convert to fraction form
    110,308/238,112 = 238,112/x
  3. Step 3: Cross multiply
    110,308x = 238,112 × 238,112
  4. Step 4: Simplify right side
    110,308x = 56,697,324,544
  5. Step 5: Solve for x
    x = 56,697,324,544/110,308
  6. Step 6: Final answer
    x = 513,991.05

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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.