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Finding the Third Proportional to 195,208.31 and 295,273.69

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Solution

The third proportional to 195,208.31 and 295,273.69 is: 446,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,208.31 : 295,273.69 = 295,273.69 : x
  2. Step 2: Convert to fraction form
    195,208.31/295,273.69 = 295,273.69/x
  3. Step 3: Cross multiply
    195,208.31x = 295,273.69 × 295,273.69
  4. Step 4: Simplify right side
    195,208.31x = 87,186,550,529.85
  5. Step 5: Solve for x
    x = 87,186,550,529.85/195,208.31
  6. Step 6: Final answer
    x = 446,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.