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Finding the Third Proportional to 203,760 and 305,640

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Solution

The third proportional to 203,760 and 305,640 is: 458,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,760 : 305,640 = 305,640 : x
  2. Step 2: Convert to fraction form
    203,760/305,640 = 305,640/x
  3. Step 3: Cross multiply
    203,760x = 305,640 × 305,640
  4. Step 4: Simplify right side
    203,760x = 93,415,809,600
  5. Step 5: Solve for x
    x = 93,415,809,600/203,760
  6. Step 6: Final answer
    x = 458,460

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.