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Finding the Third Proportional to 149,058 and 225,513

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Solution

The third proportional to 149,058 and 225,513 is: 341,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058 : 225,513 = 225,513 : x
  2. Step 2: Convert to fraction form
    149,058/225,513 = 225,513/x
  3. Step 3: Cross multiply
    149,058x = 225,513 × 225,513
  4. Step 4: Simplify right side
    149,058x = 50,856,113,169
  5. Step 5: Solve for x
    x = 50,856,113,169/149,058
  6. Step 6: Final answer
    x = 341,183.39

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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.