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Finding the Third Proportional to 194,896 and 420,878

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Solution

The third proportional to 194,896 and 420,878 is: 908,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,896 : 420,878 = 420,878 : x
  2. Step 2: Convert to fraction form
    194,896/420,878 = 420,878/x
  3. Step 3: Cross multiply
    194,896x = 420,878 × 420,878
  4. Step 4: Simplify right side
    194,896x = 177,138,290,884
  5. Step 5: Solve for x
    x = 177,138,290,884/194,896
  6. Step 6: Final answer
    x = 908,886.23

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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.