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Finding the Third Proportional to 193,836 and 411,152

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Solution

The third proportional to 193,836 and 411,152 is: 872,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,836 : 411,152 = 411,152 : x
  2. Step 2: Convert to fraction form
    193,836/411,152 = 411,152/x
  3. Step 3: Cross multiply
    193,836x = 411,152 × 411,152
  4. Step 4: Simplify right side
    193,836x = 169,045,967,104
  5. Step 5: Solve for x
    x = 169,045,967,104/193,836
  6. Step 6: Final answer
    x = 872,108.21

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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.