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Finding the Third Proportional to 131,747 and 197,261

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Solution

The third proportional to 131,747 and 197,261 is: 295,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,747 : 197,261 = 197,261 : x
  2. Step 2: Convert to fraction form
    131,747/197,261 = 197,261/x
  3. Step 3: Cross multiply
    131,747x = 197,261 × 197,261
  4. Step 4: Simplify right side
    131,747x = 38,911,902,121
  5. Step 5: Solve for x
    x = 38,911,902,121/131,747
  6. Step 6: Final answer
    x = 295,353.23

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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.