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Finding the Third Proportional to 194,563 and 419,130

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Solution

The third proportional to 194,563 and 419,130 is: 902,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,563 : 419,130 = 419,130 : x
  2. Step 2: Convert to fraction form
    194,563/419,130 = 419,130/x
  3. Step 3: Cross multiply
    194,563x = 419,130 × 419,130
  4. Step 4: Simplify right side
    194,563x = 175,669,956,900
  5. Step 5: Solve for x
    x = 175,669,956,900/194,563
  6. Step 6: Final answer
    x = 902,894.98

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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.