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Finding the Third Proportional to 184,028.63 and 397,055.25

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Solution

The third proportional to 184,028.63 and 397,055.25 is: 856,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,028.63 : 397,055.25 = 397,055.25 : x
  2. Step 2: Convert to fraction form
    184,028.63/397,055.25 = 397,055.25/x
  3. Step 3: Cross multiply
    184,028.63x = 397,055.25 × 397,055.25
  4. Step 4: Simplify right side
    184,028.63x = 157,652,871,552.56
  5. Step 5: Solve for x
    x = 157,652,871,552.56/184,028.63
  6. Step 6: Final answer
    x = 856,675.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.