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Finding the Third Proportional to 133,864 and 196,324

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Solution

The third proportional to 133,864 and 196,324 is: 287,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864 : 196,324 = 196,324 : x
  2. Step 2: Convert to fraction form
    133,864/196,324 = 196,324/x
  3. Step 3: Cross multiply
    133,864x = 196,324 × 196,324
  4. Step 4: Simplify right side
    133,864x = 38,543,112,976
  5. Step 5: Solve for x
    x = 38,543,112,976/133,864
  6. Step 6: Final answer
    x = 287,927.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.