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Finding the Third Proportional to 197,994 and 298,686

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Solution

The third proportional to 197,994 and 298,686 is: 450,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,994 : 298,686 = 298,686 : x
  2. Step 2: Convert to fraction form
    197,994/298,686 = 298,686/x
  3. Step 3: Cross multiply
    197,994x = 298,686 × 298,686
  4. Step 4: Simplify right side
    197,994x = 89,213,326,596
  5. Step 5: Solve for x
    x = 89,213,326,596/197,994
  6. Step 6: Final answer
    x = 450,586.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.