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Finding the Third Proportional to 197,968 and 431,669

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Solution

The third proportional to 197,968 and 431,669 is: 941,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,968 : 431,669 = 431,669 : x
  2. Step 2: Convert to fraction form
    197,968/431,669 = 431,669/x
  3. Step 3: Cross multiply
    197,968x = 431,669 × 431,669
  4. Step 4: Simplify right side
    197,968x = 186,338,125,561
  5. Step 5: Solve for x
    x = 186,338,125,561/197,968
  6. Step 6: Final answer
    x = 941,253.77

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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.