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Finding the Third Proportional to 197,076.25 and 300,535

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Solution

The third proportional to 197,076.25 and 300,535 is: 458,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076.25 : 300,535 = 300,535 : x
  2. Step 2: Convert to fraction form
    197,076.25/300,535 = 300,535/x
  3. Step 3: Cross multiply
    197,076.25x = 300,535 × 300,535
  4. Step 4: Simplify right side
    197,076.25x = 90,321,286,225
  5. Step 5: Solve for x
    x = 90,321,286,225/197,076.25
  6. Step 6: Final answer
    x = 458,306.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.