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Finding the Third Proportional to 207,693 and 445,194

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Solution

The third proportional to 207,693 and 445,194 is: 954,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,693 : 445,194 = 445,194 : x
  2. Step 2: Convert to fraction form
    207,693/445,194 = 445,194/x
  3. Step 3: Cross multiply
    207,693x = 445,194 × 445,194
  4. Step 4: Simplify right side
    207,693x = 198,197,697,636
  5. Step 5: Solve for x
    x = 198,197,697,636/207,693
  6. Step 6: Final answer
    x = 954,282.03

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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.