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Finding the Third Proportional to 109,924.50 and 235,401

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Solution

The third proportional to 109,924.50 and 235,401 is: 504,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,924.50 : 235,401 = 235,401 : x
  2. Step 2: Convert to fraction form
    109,924.50/235,401 = 235,401/x
  3. Step 3: Cross multiply
    109,924.50x = 235,401 × 235,401
  4. Step 4: Simplify right side
    109,924.50x = 55,413,630,801
  5. Step 5: Solve for x
    x = 55,413,630,801/109,924.50
  6. Step 6: Final answer
    x = 504,106.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.