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Finding the Third Proportional to 149,712.75 and 232,256.25

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Solution

The third proportional to 149,712.75 and 232,256.25 is: 360,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712.75 : 232,256.25 = 232,256.25 : x
  2. Step 2: Convert to fraction form
    149,712.75/232,256.25 = 232,256.25/x
  3. Step 3: Cross multiply
    149,712.75x = 232,256.25 × 232,256.25
  4. Step 4: Simplify right side
    149,712.75x = 53,942,965,664.06
  5. Step 5: Solve for x
    x = 53,942,965,664.06/149,712.75
  6. Step 6: Final answer
    x = 360,309.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.