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Finding the Third Proportional to 194,404.78 and 277,999.17

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Solution

The third proportional to 194,404.78 and 277,999.17 is: 397,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,404.78 : 277,999.17 = 277,999.17 : x
  2. Step 2: Convert to fraction form
    194,404.78/277,999.17 = 277,999.17/x
  3. Step 3: Cross multiply
    194,404.78x = 277,999.17 × 277,999.17
  4. Step 4: Simplify right side
    194,404.78x = 77,283,539,563.19
  5. Step 5: Solve for x
    x = 77,283,539,563.19/194,404.78
  6. Step 6: Final answer
    x = 397,539.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.