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Finding the Third Proportional to 92,784 and 206,817

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Solution

The third proportional to 92,784 and 206,817 is: 460,998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784 : 206,817 = 206,817 : x
  2. Step 2: Convert to fraction form
    92,784/206,817 = 206,817/x
  3. Step 3: Cross multiply
    92,784x = 206,817 × 206,817
  4. Step 4: Simplify right side
    92,784x = 42,773,271,489
  5. Step 5: Solve for x
    x = 42,773,271,489/92,784
  6. Step 6: Final answer
    x = 460,998.36

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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.