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Finding the Third Proportional to 117,394.50 and 175,401

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Solution

The third proportional to 117,394.50 and 175,401 is: 262,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,394.50 : 175,401 = 175,401 : x
  2. Step 2: Convert to fraction form
    117,394.50/175,401 = 175,401/x
  3. Step 3: Cross multiply
    117,394.50x = 175,401 × 175,401
  4. Step 4: Simplify right side
    117,394.50x = 30,765,510,801
  5. Step 5: Solve for x
    x = 30,765,510,801/117,394.50
  6. Step 6: Final answer
    x = 262,069.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.