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Finding the Third Proportional to 195,009.75 and 299,610.75

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Solution

The third proportional to 195,009.75 and 299,610.75 is: 460,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,009.75 : 299,610.75 = 299,610.75 : x
  2. Step 2: Convert to fraction form
    195,009.75/299,610.75 = 299,610.75/x
  3. Step 3: Cross multiply
    195,009.75x = 299,610.75 × 299,610.75
  4. Step 4: Simplify right side
    195,009.75x = 89,766,601,515.56
  5. Step 5: Solve for x
    x = 89,766,601,515.56/195,009.75
  6. Step 6: Final answer
    x = 460,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.