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Finding the Third Proportional to 92,783 and 206,815

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Solution

The third proportional to 92,783 and 206,815 is: 460,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,783 : 206,815 = 206,815 : x
  2. Step 2: Convert to fraction form
    92,783/206,815 = 206,815/x
  3. Step 3: Cross multiply
    92,783x = 206,815 × 206,815
  4. Step 4: Simplify right side
    92,783x = 42,772,444,225
  5. Step 5: Solve for x
    x = 42,772,444,225/92,783
  6. Step 6: Final answer
    x = 460,994.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.