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Finding the Third Proportional to 92,784 and 202,296

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Solution

The third proportional to 92,784 and 202,296 is: 441,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784 : 202,296 = 202,296 : x
  2. Step 2: Convert to fraction form
    92,784/202,296 = 202,296/x
  3. Step 3: Cross multiply
    92,784x = 202,296 × 202,296
  4. Step 4: Simplify right side
    92,784x = 40,923,671,616
  5. Step 5: Solve for x
    x = 40,923,671,616/92,784
  6. Step 6: Final answer
    x = 441,063.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.