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Finding the Third Proportional to 197,146.50 and 278,958

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Solution

The third proportional to 197,146.50 and 278,958 is: 394,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,146.50 : 278,958 = 278,958 : x
  2. Step 2: Convert to fraction form
    197,146.50/278,958 = 278,958/x
  3. Step 3: Cross multiply
    197,146.50x = 278,958 × 278,958
  4. Step 4: Simplify right side
    197,146.50x = 77,817,565,764
  5. Step 5: Solve for x
    x = 77,817,565,764/197,146.50
  6. Step 6: Final answer
    x = 394,719.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.