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Finding the Third Proportional to 191,092 and 446,230

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Solution

The third proportional to 191,092 and 446,230 is: 1,042,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,092 : 446,230 = 446,230 : x
  2. Step 2: Convert to fraction form
    191,092/446,230 = 446,230/x
  3. Step 3: Cross multiply
    191,092x = 446,230 × 446,230
  4. Step 4: Simplify right side
    191,092x = 199,121,212,900
  5. Step 5: Solve for x
    x = 199,121,212,900/191,092
  6. Step 6: Final answer
    x = 1,042,017.53

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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.