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Finding the Third Proportional to 197,273.25 and 305,118

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Solution

The third proportional to 197,273.25 and 305,118 is: 471,919.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,273.25 : 305,118 = 305,118 : x
  2. Step 2: Convert to fraction form
    197,273.25/305,118 = 305,118/x
  3. Step 3: Cross multiply
    197,273.25x = 305,118 × 305,118
  4. Step 4: Simplify right side
    197,273.25x = 93,096,993,924
  5. Step 5: Solve for x
    x = 93,096,993,924/197,273.25
  6. Step 6: Final answer
    x = 471,919.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.