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Finding the Third Proportional to 197,052 and 408,118

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Solution

The third proportional to 197,052 and 408,118 is: 845,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,052 : 408,118 = 408,118 : x
  2. Step 2: Convert to fraction form
    197,052/408,118 = 408,118/x
  3. Step 3: Cross multiply
    197,052x = 408,118 × 408,118
  4. Step 4: Simplify right side
    197,052x = 166,560,301,924
  5. Step 5: Solve for x
    x = 166,560,301,924/197,052
  6. Step 6: Final answer
    x = 845,260.65

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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.