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Finding the Third Proportional to 197,973 and 431,679

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Solution

The third proportional to 197,973 and 431,679 is: 941,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,973 : 431,679 = 431,679 : x
  2. Step 2: Convert to fraction form
    197,973/431,679 = 431,679/x
  3. Step 3: Cross multiply
    197,973x = 431,679 × 431,679
  4. Step 4: Simplify right side
    197,973x = 186,346,759,041
  5. Step 5: Solve for x
    x = 186,346,759,041/197,973
  6. Step 6: Final answer
    x = 941,273.60

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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.