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Finding the Third Proportional to 107,116 and 226,272

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Solution

The third proportional to 107,116 and 226,272 is: 477,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,116 : 226,272 = 226,272 : x
  2. Step 2: Convert to fraction form
    107,116/226,272 = 226,272/x
  3. Step 3: Cross multiply
    107,116x = 226,272 × 226,272
  4. Step 4: Simplify right side
    107,116x = 51,199,017,984
  5. Step 5: Solve for x
    x = 51,199,017,984/107,116
  6. Step 6: Final answer
    x = 477,977.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.