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Finding the Third Proportional to 191,958.50 and 413,349.50

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Solution

The third proportional to 191,958.50 and 413,349.50 is: 890,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,958.50 : 413,349.50 = 413,349.50 : x
  2. Step 2: Convert to fraction form
    191,958.50/413,349.50 = 413,349.50/x
  3. Step 3: Cross multiply
    191,958.50x = 413,349.50 × 413,349.50
  4. Step 4: Simplify right side
    191,958.50x = 170,857,809,150.25
  5. Step 5: Solve for x
    x = 170,857,809,150.25/191,958.50
  6. Step 6: Final answer
    x = 890,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.