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Finding the Third Proportional to 197,686 and 306,371

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Solution

The third proportional to 197,686 and 306,371 is: 474,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,686 : 306,371 = 306,371 : x
  2. Step 2: Convert to fraction form
    197,686/306,371 = 306,371/x
  3. Step 3: Cross multiply
    197,686x = 306,371 × 306,371
  4. Step 4: Simplify right side
    197,686x = 93,863,189,641
  5. Step 5: Solve for x
    x = 93,863,189,641/197,686
  6. Step 6: Final answer
    x = 474,809.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.