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Finding the Third Proportional to 225,045 and 335,137.50

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Solution

The third proportional to 225,045 and 335,137.50 is: 499,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,045 : 335,137.50 = 335,137.50 : x
  2. Step 2: Convert to fraction form
    225,045/335,137.50 = 335,137.50/x
  3. Step 3: Cross multiply
    225,045x = 335,137.50 × 335,137.50
  4. Step 4: Simplify right side
    225,045x = 112,317,143,906.25
  5. Step 5: Solve for x
    x = 112,317,143,906.25/225,045
  6. Step 6: Final answer
    x = 499,087.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.