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Finding the Third Proportional to 132,846 and 197,388

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Solution

The third proportional to 132,846 and 197,388 is: 293,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,846 : 197,388 = 197,388 : x
  2. Step 2: Convert to fraction form
    132,846/197,388 = 197,388/x
  3. Step 3: Cross multiply
    132,846x = 197,388 × 197,388
  4. Step 4: Simplify right side
    132,846x = 38,962,022,544
  5. Step 5: Solve for x
    x = 38,962,022,544/132,846
  6. Step 6: Final answer
    x = 293,287.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.