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Finding the Third Proportional to 92,784 and 198,684

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Solution

The third proportional to 92,784 and 198,684 is: 425,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784 : 198,684 = 198,684 : x
  2. Step 2: Convert to fraction form
    92,784/198,684 = 198,684/x
  3. Step 3: Cross multiply
    92,784x = 198,684 × 198,684
  4. Step 4: Simplify right side
    92,784x = 39,475,331,856
  5. Step 5: Solve for x
    x = 39,475,331,856/92,784
  6. Step 6: Final answer
    x = 425,454.09

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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.