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Finding the Third Proportional to 236,883 and 325,660.50

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Solution

The third proportional to 236,883 and 325,660.50 is: 447,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,883 : 325,660.50 = 325,660.50 : x
  2. Step 2: Convert to fraction form
    236,883/325,660.50 = 325,660.50/x
  3. Step 3: Cross multiply
    236,883x = 325,660.50 × 325,660.50
  4. Step 4: Simplify right side
    236,883x = 106,054,761,260.25
  5. Step 5: Solve for x
    x = 106,054,761,260.25/236,883
  6. Step 6: Final answer
    x = 447,709.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.