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Finding the Third Proportional to 197,541 and 426,996

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Solution

The third proportional to 197,541 and 426,996 is: 922,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,541 : 426,996 = 426,996 : x
  2. Step 2: Convert to fraction form
    197,541/426,996 = 426,996/x
  3. Step 3: Cross multiply
    197,541x = 426,996 × 426,996
  4. Step 4: Simplify right side
    197,541x = 182,325,584,016
  5. Step 5: Solve for x
    x = 182,325,584,016/197,541
  6. Step 6: Final answer
    x = 922,975.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.