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Finding the Third Proportional to 193,782 and 411,015

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Solution

The third proportional to 193,782 and 411,015 is: 871,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782 : 411,015 = 411,015 : x
  2. Step 2: Convert to fraction form
    193,782/411,015 = 411,015/x
  3. Step 3: Cross multiply
    193,782x = 411,015 × 411,015
  4. Step 4: Simplify right side
    193,782x = 168,933,330,225
  5. Step 5: Solve for x
    x = 168,933,330,225/193,782
  6. Step 6: Final answer
    x = 871,769.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.