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Finding the Third Proportional to 199,266 and 431,728

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Solution

The third proportional to 199,266 and 431,728 is: 935,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,266 : 431,728 = 431,728 : x
  2. Step 2: Convert to fraction form
    199,266/431,728 = 431,728/x
  3. Step 3: Cross multiply
    199,266x = 431,728 × 431,728
  4. Step 4: Simplify right side
    199,266x = 186,389,065,984
  5. Step 5: Solve for x
    x = 186,389,065,984/199,266
  6. Step 6: Final answer
    x = 935,378.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.