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Finding the Third Proportional to 190,956 and 420,048

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Solution

The third proportional to 190,956 and 420,048 is: 923,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,956 : 420,048 = 420,048 : x
  2. Step 2: Convert to fraction form
    190,956/420,048 = 420,048/x
  3. Step 3: Cross multiply
    190,956x = 420,048 × 420,048
  4. Step 4: Simplify right side
    190,956x = 176,440,322,304
  5. Step 5: Solve for x
    x = 176,440,322,304/190,956
  6. Step 6: Final answer
    x = 923,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.