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Finding the Third Proportional to 197,284 and 300,840

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Solution

The third proportional to 197,284 and 300,840 is: 458,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,284 : 300,840 = 300,840 : x
  2. Step 2: Convert to fraction form
    197,284/300,840 = 300,840/x
  3. Step 3: Cross multiply
    197,284x = 300,840 × 300,840
  4. Step 4: Simplify right side
    197,284x = 90,504,705,600
  5. Step 5: Solve for x
    x = 90,504,705,600/197,284
  6. Step 6: Final answer
    x = 458,753.40

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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.