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Finding the Third Proportional to 194,294 and 397,984

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Solution

The third proportional to 194,294 and 397,984 is: 815,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294 : 397,984 = 397,984 : x
  2. Step 2: Convert to fraction form
    194,294/397,984 = 397,984/x
  3. Step 3: Cross multiply
    194,294x = 397,984 × 397,984
  4. Step 4: Simplify right side
    194,294x = 158,391,264,256
  5. Step 5: Solve for x
    x = 158,391,264,256/194,294
  6. Step 6: Final answer
    x = 815,214.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.