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Finding the Third Proportional to 78,058.50 and 184,206.75

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Solution

The third proportional to 78,058.50 and 184,206.75 is: 434,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058.50 : 184,206.75 = 184,206.75 : x
  2. Step 2: Convert to fraction form
    78,058.50/184,206.75 = 184,206.75/x
  3. Step 3: Cross multiply
    78,058.50x = 184,206.75 × 184,206.75
  4. Step 4: Simplify right side
    78,058.50x = 33,932,126,745.56
  5. Step 5: Solve for x
    x = 33,932,126,745.56/78,058.50
  6. Step 6: Final answer
    x = 434,701.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.