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Finding the Third Proportional to 152,826.75 and 331,910.25

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Solution

The third proportional to 152,826.75 and 331,910.25 is: 720,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,826.75 : 331,910.25 = 331,910.25 : x
  2. Step 2: Convert to fraction form
    152,826.75/331,910.25 = 331,910.25/x
  3. Step 3: Cross multiply
    152,826.75x = 331,910.25 × 331,910.25
  4. Step 4: Simplify right side
    152,826.75x = 110,164,414,055.06
  5. Step 5: Solve for x
    x = 110,164,414,055.06/152,826.75
  6. Step 6: Final answer
    x = 720,845.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.