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Finding the Third Proportional to 194,807 and 419,706

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Solution

The third proportional to 194,807 and 419,706 is: 904,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807 : 419,706 = 419,706 : x
  2. Step 2: Convert to fraction form
    194,807/419,706 = 419,706/x
  3. Step 3: Cross multiply
    194,807x = 419,706 × 419,706
  4. Step 4: Simplify right side
    194,807x = 176,153,126,436
  5. Step 5: Solve for x
    x = 176,153,126,436/194,807
  6. Step 6: Final answer
    x = 904,244.34

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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.