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Finding the Third Proportional to 184,396.50 and 375,561

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Solution

The third proportional to 184,396.50 and 375,561 is: 764,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,396.50 : 375,561 = 375,561 : x
  2. Step 2: Convert to fraction form
    184,396.50/375,561 = 375,561/x
  3. Step 3: Cross multiply
    184,396.50x = 375,561 × 375,561
  4. Step 4: Simplify right side
    184,396.50x = 141,046,064,721
  5. Step 5: Solve for x
    x = 141,046,064,721/184,396.50
  6. Step 6: Final answer
    x = 764,906.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.