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Finding the Third Proportional to 195,220.75 and 295,289.75

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Solution

The third proportional to 195,220.75 and 295,289.75 is: 446,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,220.75 : 295,289.75 = 295,289.75 : x
  2. Step 2: Convert to fraction form
    195,220.75/295,289.75 = 295,289.75/x
  3. Step 3: Cross multiply
    195,220.75x = 295,289.75 × 295,289.75
  4. Step 4: Simplify right side
    195,220.75x = 87,196,036,455.06
  5. Step 5: Solve for x
    x = 87,196,036,455.06/195,220.75
  6. Step 6: Final answer
    x = 446,653.53

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