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Finding the Third Proportional to 106,570 and 227,912

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Solution

The third proportional to 106,570 and 227,912 is: 487,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570 : 227,912 = 227,912 : x
  2. Step 2: Convert to fraction form
    106,570/227,912 = 227,912/x
  3. Step 3: Cross multiply
    106,570x = 227,912 × 227,912
  4. Step 4: Simplify right side
    106,570x = 51,943,879,744
  5. Step 5: Solve for x
    x = 51,943,879,744/106,570
  6. Step 6: Final answer
    x = 487,415.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.