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Finding the Third Proportional to 149,030 and 225,471

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Solution

The third proportional to 149,030 and 225,471 is: 341,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,030 : 225,471 = 225,471 : x
  2. Step 2: Convert to fraction form
    149,030/225,471 = 225,471/x
  3. Step 3: Cross multiply
    149,030x = 225,471 × 225,471
  4. Step 4: Simplify right side
    149,030x = 50,837,171,841
  5. Step 5: Solve for x
    x = 50,837,171,841/149,030
  6. Step 6: Final answer
    x = 341,120.39

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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.