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Finding the Third Proportional to 207,108 and 445,907.25

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Solution

The third proportional to 207,108 and 445,907.25 is: 960,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,108 : 445,907.25 = 445,907.25 : x
  2. Step 2: Convert to fraction form
    207,108/445,907.25 = 445,907.25/x
  3. Step 3: Cross multiply
    207,108x = 445,907.25 × 445,907.25
  4. Step 4: Simplify right side
    207,108x = 198,833,275,602.56
  5. Step 5: Solve for x
    x = 198,833,275,602.56/207,108
  6. Step 6: Final answer
    x = 960,046.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.