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Finding the Third Proportional to 197,963 and 268,957

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Solution

The third proportional to 197,963 and 268,957 is: 365,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,963 : 268,957 = 268,957 : x
  2. Step 2: Convert to fraction form
    197,963/268,957 = 268,957/x
  3. Step 3: Cross multiply
    197,963x = 268,957 × 268,957
  4. Step 4: Simplify right side
    197,963x = 72,337,867,849
  5. Step 5: Solve for x
    x = 72,337,867,849/197,963
  6. Step 6: Final answer
    x = 365,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.