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Finding the Third Proportional to 191,736 and 412,905.38

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Solution

The third proportional to 191,736 and 412,905.38 is: 889,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,736 : 412,905.38 = 412,905.38 : x
  2. Step 2: Convert to fraction form
    191,736/412,905.38 = 412,905.38/x
  3. Step 3: Cross multiply
    191,736x = 412,905.38 × 412,905.38
  4. Step 4: Simplify right side
    191,736x = 170,490,848,703.89
  5. Step 5: Solve for x
    x = 170,490,848,703.89/191,736
  6. Step 6: Final answer
    x = 889,195.81

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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.