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Finding the Third Proportional to 197,971 and 431,675

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Solution

The third proportional to 197,971 and 431,675 is: 941,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,971 : 431,675 = 431,675 : x
  2. Step 2: Convert to fraction form
    197,971/431,675 = 431,675/x
  3. Step 3: Cross multiply
    197,971x = 431,675 × 431,675
  4. Step 4: Simplify right side
    197,971x = 186,343,305,625
  5. Step 5: Solve for x
    x = 186,343,305,625/197,971
  6. Step 6: Final answer
    x = 941,265.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.