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Finding the Third Proportional to 110,321 and 238,134

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Solution

The third proportional to 110,321 and 238,134 is: 514,025.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,321 : 238,134 = 238,134 : x
  2. Step 2: Convert to fraction form
    110,321/238,134 = 238,134/x
  3. Step 3: Cross multiply
    110,321x = 238,134 × 238,134
  4. Step 4: Simplify right side
    110,321x = 56,707,801,956
  5. Step 5: Solve for x
    x = 56,707,801,956/110,321
  6. Step 6: Final answer
    x = 514,025.45

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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.