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Finding the Third Proportional to 78,373 and 171,325

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Solution

The third proportional to 78,373 and 171,325 is: 374,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373 : 171,325 = 171,325 : x
  2. Step 2: Convert to fraction form
    78,373/171,325 = 171,325/x
  3. Step 3: Cross multiply
    78,373x = 171,325 × 171,325
  4. Step 4: Simplify right side
    78,373x = 29,352,255,625
  5. Step 5: Solve for x
    x = 29,352,255,625/78,373
  6. Step 6: Final answer
    x = 374,520.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.