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Finding the Third Proportional to 197,168 and 427,552

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Solution

The third proportional to 197,168 and 427,552 is: 927,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,168 : 427,552 = 427,552 : x
  2. Step 2: Convert to fraction form
    197,168/427,552 = 427,552/x
  3. Step 3: Cross multiply
    197,168x = 427,552 × 427,552
  4. Step 4: Simplify right side
    197,168x = 182,800,712,704
  5. Step 5: Solve for x
    x = 182,800,712,704/197,168
  6. Step 6: Final answer
    x = 927,131.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.