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Finding the Third Proportional to 207,144 and 445,998

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Solution

The third proportional to 207,144 and 445,998 is: 960,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,144 : 445,998 = 445,998 : x
  2. Step 2: Convert to fraction form
    207,144/445,998 = 445,998/x
  3. Step 3: Cross multiply
    207,144x = 445,998 × 445,998
  4. Step 4: Simplify right side
    207,144x = 198,914,216,004
  5. Step 5: Solve for x
    x = 198,914,216,004/207,144
  6. Step 6: Final answer
    x = 960,270.23

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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.