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Finding the Third Proportional to 194,211 and 295,369.50

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Solution

The third proportional to 194,211 and 295,369.50 is: 449,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,211 : 295,369.50 = 295,369.50 : x
  2. Step 2: Convert to fraction form
    194,211/295,369.50 = 295,369.50/x
  3. Step 3: Cross multiply
    194,211x = 295,369.50 × 295,369.50
  4. Step 4: Simplify right side
    194,211x = 87,243,141,530.25
  5. Step 5: Solve for x
    x = 87,243,141,530.25/194,211
  6. Step 6: Final answer
    x = 449,218.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.