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Finding the Third Proportional to 214,738 and 485,152

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Solution

The third proportional to 214,738 and 485,152 is: 1,096,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,738 : 485,152 = 485,152 : x
  2. Step 2: Convert to fraction form
    214,738/485,152 = 485,152/x
  3. Step 3: Cross multiply
    214,738x = 485,152 × 485,152
  4. Step 4: Simplify right side
    214,738x = 235,372,463,104
  5. Step 5: Solve for x
    x = 235,372,463,104/214,738
  6. Step 6: Final answer
    x = 1,096,091.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.