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Finding the Third Proportional to 191,609 and 395,517.50

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Solution

The third proportional to 191,609 and 395,517.50 is: 816,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,609 : 395,517.50 = 395,517.50 : x
  2. Step 2: Convert to fraction form
    191,609/395,517.50 = 395,517.50/x
  3. Step 3: Cross multiply
    191,609x = 395,517.50 × 395,517.50
  4. Step 4: Simplify right side
    191,609x = 156,434,092,806.25
  5. Step 5: Solve for x
    x = 156,434,092,806.25/191,609
  6. Step 6: Final answer
    x = 816,423.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.