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Finding the Third Proportional to 197,024 and 408,062

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Solution

The third proportional to 197,024 and 408,062 is: 845,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,024 : 408,062 = 408,062 : x
  2. Step 2: Convert to fraction form
    197,024/408,062 = 408,062/x
  3. Step 3: Cross multiply
    197,024x = 408,062 × 408,062
  4. Step 4: Simplify right side
    197,024x = 166,514,595,844
  5. Step 5: Solve for x
    x = 166,514,595,844/197,024
  6. Step 6: Final answer
    x = 845,148.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.