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Finding the Third Proportional to 149,414.63 and 225,370.69

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Solution

The third proportional to 149,414.63 and 225,370.69 is: 339,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,414.63 : 225,370.69 = 225,370.69 : x
  2. Step 2: Convert to fraction form
    149,414.63/225,370.69 = 225,370.69/x
  3. Step 3: Cross multiply
    149,414.63x = 225,370.69 × 225,370.69
  4. Step 4: Simplify right side
    149,414.63x = 50,791,946,784.22
  5. Step 5: Solve for x
    x = 50,791,946,784.22/149,414.63
  6. Step 6: Final answer
    x = 339,939.59

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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.