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Finding the Third Proportional to 201,058 and 300,598

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Solution

The third proportional to 201,058 and 300,598 is: 449,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,058 : 300,598 = 300,598 : x
  2. Step 2: Convert to fraction form
    201,058/300,598 = 300,598/x
  3. Step 3: Cross multiply
    201,058x = 300,598 × 300,598
  4. Step 4: Simplify right side
    201,058x = 90,359,157,604
  5. Step 5: Solve for x
    x = 90,359,157,604/201,058
  6. Step 6: Final answer
    x = 449,418.36

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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.