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Finding the Third Proportional to 92,334 and 198,789

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Solution

The third proportional to 92,334 and 198,789 is: 427,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,334 : 198,789 = 198,789 : x
  2. Step 2: Convert to fraction form
    92,334/198,789 = 198,789/x
  3. Step 3: Cross multiply
    92,334x = 198,789 × 198,789
  4. Step 4: Simplify right side
    92,334x = 39,517,066,521
  5. Step 5: Solve for x
    x = 39,517,066,521/92,334
  6. Step 6: Final answer
    x = 427,979.58

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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.