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Finding the Third Proportional to 197,400.38 and 281,337.75

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Solution

The third proportional to 197,400.38 and 281,337.75 is: 400,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,400.38 : 281,337.75 = 281,337.75 : x
  2. Step 2: Convert to fraction form
    197,400.38/281,337.75 = 281,337.75/x
  3. Step 3: Cross multiply
    197,400.38x = 281,337.75 × 281,337.75
  4. Step 4: Simplify right side
    197,400.38x = 79,150,929,575.06
  5. Step 5: Solve for x
    x = 79,150,929,575.06/197,400.38
  6. Step 6: Final answer
    x = 400,966.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.