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Finding the Third Proportional to 191,098 and 446,245

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Solution

The third proportional to 191,098 and 446,245 is: 1,042,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,098 : 446,245 = 446,245 : x
  2. Step 2: Convert to fraction form
    191,098/446,245 = 446,245/x
  3. Step 3: Cross multiply
    191,098x = 446,245 × 446,245
  4. Step 4: Simplify right side
    191,098x = 199,134,600,025
  5. Step 5: Solve for x
    x = 199,134,600,025/191,098
  6. Step 6: Final answer
    x = 1,042,054.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.