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Finding the Third Proportional to 199,014 and 301,401

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Solution

The third proportional to 199,014 and 301,401 is: 456,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,014 : 301,401 = 301,401 : x
  2. Step 2: Convert to fraction form
    199,014/301,401 = 301,401/x
  3. Step 3: Cross multiply
    199,014x = 301,401 × 301,401
  4. Step 4: Simplify right side
    199,014x = 90,842,562,801
  5. Step 5: Solve for x
    x = 90,842,562,801/199,014
  6. Step 6: Final answer
    x = 456,463.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.