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Finding the Third Proportional to 197,713 and 306,401

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Solution

The third proportional to 197,713 and 306,401 is: 474,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,713 : 306,401 = 306,401 : x
  2. Step 2: Convert to fraction form
    197,713/306,401 = 306,401/x
  3. Step 3: Cross multiply
    197,713x = 306,401 × 306,401
  4. Step 4: Simplify right side
    197,713x = 93,881,572,801
  5. Step 5: Solve for x
    x = 93,881,572,801/197,713
  6. Step 6: Final answer
    x = 474,837.63

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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.