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Finding the Third Proportional to 92,534 and 198,206

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Solution

The third proportional to 92,534 and 198,206 is: 424,553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,534 : 198,206 = 198,206 : x
  2. Step 2: Convert to fraction form
    92,534/198,206 = 198,206/x
  3. Step 3: Cross multiply
    92,534x = 198,206 × 198,206
  4. Step 4: Simplify right side
    92,534x = 39,285,618,436
  5. Step 5: Solve for x
    x = 39,285,618,436/92,534
  6. Step 6: Final answer
    x = 424,553.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.