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Finding the Third Proportional to 193,600.50 and 415,213.50

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Solution

The third proportional to 193,600.50 and 415,213.50 is: 890,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,600.50 : 415,213.50 = 415,213.50 : x
  2. Step 2: Convert to fraction form
    193,600.50/415,213.50 = 415,213.50/x
  3. Step 3: Cross multiply
    193,600.50x = 415,213.50 × 415,213.50
  4. Step 4: Simplify right side
    193,600.50x = 172,402,250,582.25
  5. Step 5: Solve for x
    x = 172,402,250,582.25/193,600.50
  6. Step 6: Final answer
    x = 890,505.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.