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Finding the Third Proportional to 84,414 and 197,211

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Solution

The third proportional to 84,414 and 197,211 is: 460,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,414 : 197,211 = 197,211 : x
  2. Step 2: Convert to fraction form
    84,414/197,211 = 197,211/x
  3. Step 3: Cross multiply
    84,414x = 197,211 × 197,211
  4. Step 4: Simplify right side
    84,414x = 38,892,178,521
  5. Step 5: Solve for x
    x = 38,892,178,521/84,414
  6. Step 6: Final answer
    x = 460,731.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.