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Finding the Third Proportional to 104,700 and 214,944

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Solution

The third proportional to 104,700 and 214,944 is: 441,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,700 : 214,944 = 214,944 : x
  2. Step 2: Convert to fraction form
    104,700/214,944 = 214,944/x
  3. Step 3: Cross multiply
    104,700x = 214,944 × 214,944
  4. Step 4: Simplify right side
    104,700x = 46,200,923,136
  5. Step 5: Solve for x
    x = 46,200,923,136/104,700
  6. Step 6: Final answer
    x = 441,269.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.