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Finding the Third Proportional to 132,900 and 197,446

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Solution

The third proportional to 132,900 and 197,446 is: 293,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,900 : 197,446 = 197,446 : x
  2. Step 2: Convert to fraction form
    132,900/197,446 = 197,446/x
  3. Step 3: Cross multiply
    132,900x = 197,446 × 197,446
  4. Step 4: Simplify right side
    132,900x = 38,984,922,916
  5. Step 5: Solve for x
    x = 38,984,922,916/132,900
  6. Step 6: Final answer
    x = 293,340.28

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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.