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Finding the Third Proportional to 207,350 and 445,020

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Solution

The third proportional to 207,350 and 445,020 is: 955,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,350 : 445,020 = 445,020 : x
  2. Step 2: Convert to fraction form
    207,350/445,020 = 445,020/x
  3. Step 3: Cross multiply
    207,350x = 445,020 × 445,020
  4. Step 4: Simplify right side
    207,350x = 198,042,800,400
  5. Step 5: Solve for x
    x = 198,042,800,400/207,350
  6. Step 6: Final answer
    x = 955,113.58

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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.