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Finding the Third Proportional to 197,168 and 436,448

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Solution

The third proportional to 197,168 and 436,448 is: 966,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,168 : 436,448 = 436,448 : x
  2. Step 2: Convert to fraction form
    197,168/436,448 = 436,448/x
  3. Step 3: Cross multiply
    197,168x = 436,448 × 436,448
  4. Step 4: Simplify right side
    197,168x = 190,486,856,704
  5. Step 5: Solve for x
    x = 190,486,856,704/197,168
  6. Step 6: Final answer
    x = 966,114.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.