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Finding the Third Proportional to 104,576 and 214,664

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Solution

The third proportional to 104,576 and 214,664 is: 440,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,576 : 214,664 = 214,664 : x
  2. Step 2: Convert to fraction form
    104,576/214,664 = 214,664/x
  3. Step 3: Cross multiply
    104,576x = 214,664 × 214,664
  4. Step 4: Simplify right side
    104,576x = 46,080,632,896
  5. Step 5: Solve for x
    x = 46,080,632,896/104,576
  6. Step 6: Final answer
    x = 440,642.53

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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.