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Finding the Third Proportional to 183,132.75 and 380,300.25

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Solution

The third proportional to 183,132.75 and 380,300.25 is: 789,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,132.75 : 380,300.25 = 380,300.25 : x
  2. Step 2: Convert to fraction form
    183,132.75/380,300.25 = 380,300.25/x
  3. Step 3: Cross multiply
    183,132.75x = 380,300.25 × 380,300.25
  4. Step 4: Simplify right side
    183,132.75x = 144,628,280,150.06
  5. Step 5: Solve for x
    x = 144,628,280,150.06/183,132.75
  6. Step 6: Final answer
    x = 789,745.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.