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Finding the Third Proportional to 131,455 and 196,957

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Solution

The third proportional to 131,455 and 196,957 is: 295,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,455 : 196,957 = 196,957 : x
  2. Step 2: Convert to fraction form
    131,455/196,957 = 196,957/x
  3. Step 3: Cross multiply
    131,455x = 196,957 × 196,957
  4. Step 4: Simplify right side
    131,455x = 38,792,059,849
  5. Step 5: Solve for x
    x = 38,792,059,849/131,455
  6. Step 6: Final answer
    x = 295,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.