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Finding the Third Proportional to 151,483 and 212,401

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Solution

The third proportional to 151,483 and 212,401 is: 297,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,483 : 212,401 = 212,401 : x
  2. Step 2: Convert to fraction form
    151,483/212,401 = 212,401/x
  3. Step 3: Cross multiply
    151,483x = 212,401 × 212,401
  4. Step 4: Simplify right side
    151,483x = 45,114,184,801
  5. Step 5: Solve for x
    x = 45,114,184,801/151,483
  6. Step 6: Final answer
    x = 297,816.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.