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Finding the Third Proportional to 100,784 and 217,120

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Solution

The third proportional to 100,784 and 217,120 is: 467,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784 : 217,120 = 217,120 : x
  2. Step 2: Convert to fraction form
    100,784/217,120 = 217,120/x
  3. Step 3: Cross multiply
    100,784x = 217,120 × 217,120
  4. Step 4: Simplify right side
    100,784x = 47,141,094,400
  5. Step 5: Solve for x
    x = 47,141,094,400/100,784
  6. Step 6: Final answer
    x = 467,743.83

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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.