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Finding the Third Proportional to 180,483 and 365,346.75

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Solution

The third proportional to 180,483 and 365,346.75 is: 739,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,483 : 365,346.75 = 365,346.75 : x
  2. Step 2: Convert to fraction form
    180,483/365,346.75 = 365,346.75/x
  3. Step 3: Cross multiply
    180,483x = 365,346.75 × 365,346.75
  4. Step 4: Simplify right side
    180,483x = 133,478,247,735.56
  5. Step 5: Solve for x
    x = 133,478,247,735.56/180,483
  6. Step 6: Final answer
    x = 739,561.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.