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Finding the Third Proportional to 115,415.25 and 184,378.50

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Solution

The third proportional to 115,415.25 and 184,378.50 is: 294,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,415.25 : 184,378.50 = 184,378.50 : x
  2. Step 2: Convert to fraction form
    115,415.25/184,378.50 = 184,378.50/x
  3. Step 3: Cross multiply
    115,415.25x = 184,378.50 × 184,378.50
  4. Step 4: Simplify right side
    115,415.25x = 33,995,431,262.25
  5. Step 5: Solve for x
    x = 33,995,431,262.25/115,415.25
  6. Step 6: Final answer
    x = 294,548.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.