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Finding the Third Proportional to 134,397 and 194,278.50

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Solution

The third proportional to 134,397 and 194,278.50 is: 280,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,397 : 194,278.50 = 194,278.50 : x
  2. Step 2: Convert to fraction form
    134,397/194,278.50 = 194,278.50/x
  3. Step 3: Cross multiply
    134,397x = 194,278.50 × 194,278.50
  4. Step 4: Simplify right side
    134,397x = 37,744,135,562.25
  5. Step 5: Solve for x
    x = 37,744,135,562.25/134,397
  6. Step 6: Final answer
    x = 280,840.61

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.