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Finding the Third Proportional to 214,741 and 485,159

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Solution

The third proportional to 214,741 and 485,159 is: 1,096,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,741 : 485,159 = 485,159 : x
  2. Step 2: Convert to fraction form
    214,741/485,159 = 485,159/x
  3. Step 3: Cross multiply
    214,741x = 485,159 × 485,159
  4. Step 4: Simplify right side
    214,741x = 235,379,255,281
  5. Step 5: Solve for x
    x = 235,379,255,281/214,741
  6. Step 6: Final answer
    x = 1,096,107.66

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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.