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Finding the Third Proportional to 92,032 and 198,562

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Solution

The third proportional to 92,032 and 198,562 is: 428,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032 : 198,562 = 198,562 : x
  2. Step 2: Convert to fraction form
    92,032/198,562 = 198,562/x
  3. Step 3: Cross multiply
    92,032x = 198,562 × 198,562
  4. Step 4: Simplify right side
    92,032x = 39,426,867,844
  5. Step 5: Solve for x
    x = 39,426,867,844/92,032
  6. Step 6: Final answer
    x = 428,403.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.