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Finding the Third Proportional to 110,884.50 and 238,374

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Solution

The third proportional to 110,884.50 and 238,374 is: 512,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,884.50 : 238,374 = 238,374 : x
  2. Step 2: Convert to fraction form
    110,884.50/238,374 = 238,374/x
  3. Step 3: Cross multiply
    110,884.50x = 238,374 × 238,374
  4. Step 4: Simplify right side
    110,884.50x = 56,822,163,876
  5. Step 5: Solve for x
    x = 56,822,163,876/110,884.50
  6. Step 6: Final answer
    x = 512,444.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.