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Finding the Third Proportional to 149,040 and 230,256

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Solution

The third proportional to 149,040 and 230,256 is: 355,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,040 : 230,256 = 230,256 : x
  2. Step 2: Convert to fraction form
    149,040/230,256 = 230,256/x
  3. Step 3: Cross multiply
    149,040x = 230,256 × 230,256
  4. Step 4: Simplify right side
    149,040x = 53,017,825,536
  5. Step 5: Solve for x
    x = 53,017,825,536/149,040
  6. Step 6: Final answer
    x = 355,728.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.