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Finding the Third Proportional to 197,484 and 305,874

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Solution

The third proportional to 197,484 and 305,874 is: 473,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,484 : 305,874 = 305,874 : x
  2. Step 2: Convert to fraction form
    197,484/305,874 = 305,874/x
  3. Step 3: Cross multiply
    197,484x = 305,874 × 305,874
  4. Step 4: Simplify right side
    197,484x = 93,558,903,876
  5. Step 5: Solve for x
    x = 93,558,903,876/197,484
  6. Step 6: Final answer
    x = 473,754.35

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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.