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Finding the Third Proportional to 197,192 and 423,940

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Solution

The third proportional to 197,192 and 423,940 is: 911,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,192 : 423,940 = 423,940 : x
  2. Step 2: Convert to fraction form
    197,192/423,940 = 423,940/x
  3. Step 3: Cross multiply
    197,192x = 423,940 × 423,940
  4. Step 4: Simplify right side
    197,192x = 179,725,123,600
  5. Step 5: Solve for x
    x = 179,725,123,600/197,192
  6. Step 6: Final answer
    x = 911,421.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.