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Finding the Third Proportional to 184,398 and 375,564

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Solution

The third proportional to 184,398 and 375,564 is: 764,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,398 : 375,564 = 375,564 : x
  2. Step 2: Convert to fraction form
    184,398/375,564 = 375,564/x
  3. Step 3: Cross multiply
    184,398x = 375,564 × 375,564
  4. Step 4: Simplify right side
    184,398x = 141,048,318,096
  5. Step 5: Solve for x
    x = 141,048,318,096/184,398
  6. Step 6: Final answer
    x = 764,912.41

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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.