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Finding the Third Proportional to 194,064 and 308,592

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Solution

The third proportional to 194,064 and 308,592 is: 490,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,064 : 308,592 = 308,592 : x
  2. Step 2: Convert to fraction form
    194,064/308,592 = 308,592/x
  3. Step 3: Cross multiply
    194,064x = 308,592 × 308,592
  4. Step 4: Simplify right side
    194,064x = 95,229,022,464
  5. Step 5: Solve for x
    x = 95,229,022,464/194,064
  6. Step 6: Final answer
    x = 490,709.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.