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Finding the Third Proportional to 197,076 and 300,534.75

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Solution

The third proportional to 197,076 and 300,534.75 is: 458,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,076 : 300,534.75 = 300,534.75 : x
  2. Step 2: Convert to fraction form
    197,076/300,534.75 = 300,534.75/x
  3. Step 3: Cross multiply
    197,076x = 300,534.75 × 300,534.75
  4. Step 4: Simplify right side
    197,076x = 90,321,135,957.56
  5. Step 5: Solve for x
    x = 90,321,135,957.56/197,076
  6. Step 6: Final answer
    x = 458,306.12

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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.