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Finding the Third Proportional to 194,658 and 419,700

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Solution

The third proportional to 194,658 and 419,700 is: 904,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,658 : 419,700 = 419,700 : x
  2. Step 2: Convert to fraction form
    194,658/419,700 = 419,700/x
  3. Step 3: Cross multiply
    194,658x = 419,700 × 419,700
  4. Step 4: Simplify right side
    194,658x = 176,148,090,000
  5. Step 5: Solve for x
    x = 176,148,090,000/194,658
  6. Step 6: Final answer
    x = 904,910.61

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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.