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Finding the Third Proportional to 193,245.75 and 415,062

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Solution

The third proportional to 193,245.75 and 415,062 is: 891,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,245.75 : 415,062 = 415,062 : x
  2. Step 2: Convert to fraction form
    193,245.75/415,062 = 415,062/x
  3. Step 3: Cross multiply
    193,245.75x = 415,062 × 415,062
  4. Step 4: Simplify right side
    193,245.75x = 172,276,463,844
  5. Step 5: Solve for x
    x = 172,276,463,844/193,245.75
  6. Step 6: Final answer
    x = 891,489.02

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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.