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Finding the Third Proportional to 194,883 and 420,852

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Solution

The third proportional to 194,883 and 420,852 is: 908,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,883 : 420,852 = 420,852 : x
  2. Step 2: Convert to fraction form
    194,883/420,852 = 420,852/x
  3. Step 3: Cross multiply
    194,883x = 420,852 × 420,852
  4. Step 4: Simplify right side
    194,883x = 177,116,405,904
  5. Step 5: Solve for x
    x = 177,116,405,904/194,883
  6. Step 6: Final answer
    x = 908,834.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.