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Finding the Third Proportional to 194,811 and 291,431

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Solution

The third proportional to 194,811 and 291,431 is: 435,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,811 : 291,431 = 291,431 : x
  2. Step 2: Convert to fraction form
    194,811/291,431 = 291,431/x
  3. Step 3: Cross multiply
    194,811x = 291,431 × 291,431
  4. Step 4: Simplify right side
    194,811x = 84,932,027,761
  5. Step 5: Solve for x
    x = 84,932,027,761/194,811
  6. Step 6: Final answer
    x = 435,971.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.