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Finding the Third Proportional to 154,660 and 232,401

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Solution

The third proportional to 154,660 and 232,401 is: 349,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,660 : 232,401 = 232,401 : x
  2. Step 2: Convert to fraction form
    154,660/232,401 = 232,401/x
  3. Step 3: Cross multiply
    154,660x = 232,401 × 232,401
  4. Step 4: Simplify right side
    154,660x = 54,010,224,801
  5. Step 5: Solve for x
    x = 54,010,224,801/154,660
  6. Step 6: Final answer
    x = 349,219.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.