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Finding the Third Proportional to 189,042.75 and 395,613

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Solution

The third proportional to 189,042.75 and 395,613 is: 827,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,042.75 : 395,613 = 395,613 : x
  2. Step 2: Convert to fraction form
    189,042.75/395,613 = 395,613/x
  3. Step 3: Cross multiply
    189,042.75x = 395,613 × 395,613
  4. Step 4: Simplify right side
    189,042.75x = 156,509,645,769
  5. Step 5: Solve for x
    x = 156,509,645,769/189,042.75
  6. Step 6: Final answer
    x = 827,906.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.