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Finding the Third Proportional to 191,613 and 395,524.50

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Solution

The third proportional to 191,613 and 395,524.50 is: 816,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,613 : 395,524.50 = 395,524.50 : x
  2. Step 2: Convert to fraction form
    191,613/395,524.50 = 395,524.50/x
  3. Step 3: Cross multiply
    191,613x = 395,524.50 × 395,524.50
  4. Step 4: Simplify right side
    191,613x = 156,439,630,100.25
  5. Step 5: Solve for x
    x = 156,439,630,100.25/191,613
  6. Step 6: Final answer
    x = 816,435.37

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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.