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Finding the Third Proportional to 193,815 and 411,110

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Solution

The third proportional to 193,815 and 411,110 is: 872,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,815 : 411,110 = 411,110 : x
  2. Step 2: Convert to fraction form
    193,815/411,110 = 411,110/x
  3. Step 3: Cross multiply
    193,815x = 411,110 × 411,110
  4. Step 4: Simplify right side
    193,815x = 169,011,432,100
  5. Step 5: Solve for x
    x = 169,011,432,100/193,815
  6. Step 6: Final answer
    x = 872,024.52

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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.