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Finding the Third Proportional to 191,094 and 446,235

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Solution

The third proportional to 191,094 and 446,235 is: 1,042,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,094 : 446,235 = 446,235 : x
  2. Step 2: Convert to fraction form
    191,094/446,235 = 446,235/x
  3. Step 3: Cross multiply
    191,094x = 446,235 × 446,235
  4. Step 4: Simplify right side
    191,094x = 199,125,675,225
  5. Step 5: Solve for x
    x = 199,125,675,225/191,094
  6. Step 6: Final answer
    x = 1,042,029.97

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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.