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Finding the Third Proportional to 110,327 and 238,146

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Solution

The third proportional to 110,327 and 238,146 is: 514,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,327 : 238,146 = 238,146 : x
  2. Step 2: Convert to fraction form
    110,327/238,146 = 238,146/x
  3. Step 3: Cross multiply
    110,327x = 238,146 × 238,146
  4. Step 4: Simplify right side
    110,327x = 56,713,517,316
  5. Step 5: Solve for x
    x = 56,713,517,316/110,327
  6. Step 6: Final answer
    x = 514,049.30

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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.