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Finding the Third Proportional to 173,718 and 377,325

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Solution

The third proportional to 173,718 and 377,325 is: 819,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,718 : 377,325 = 377,325 : x
  2. Step 2: Convert to fraction form
    173,718/377,325 = 377,325/x
  3. Step 3: Cross multiply
    173,718x = 377,325 × 377,325
  4. Step 4: Simplify right side
    173,718x = 142,374,155,625
  5. Step 5: Solve for x
    x = 142,374,155,625/173,718
  6. Step 6: Final answer
    x = 819,570.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.