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Finding the Third Proportional to 194,904 and 419,940

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Solution

The third proportional to 194,904 and 419,940 is: 904,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,904 : 419,940 = 419,940 : x
  2. Step 2: Convert to fraction form
    194,904/419,940 = 419,940/x
  3. Step 3: Cross multiply
    194,904x = 419,940 × 419,940
  4. Step 4: Simplify right side
    194,904x = 176,349,603,600
  5. Step 5: Solve for x
    x = 176,349,603,600/194,904
  6. Step 6: Final answer
    x = 904,802.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.