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Finding the Third Proportional to 195,975.70 and 299,584.83

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Solution

The third proportional to 195,975.70 and 299,584.83 is: 457,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,975.70 : 299,584.83 = 299,584.83 : x
  2. Step 2: Convert to fraction form
    195,975.70/299,584.83 = 299,584.83/x
  3. Step 3: Cross multiply
    195,975.70x = 299,584.83 × 299,584.83
  4. Step 4: Simplify right side
    195,975.70x = 89,751,069,242.69
  5. Step 5: Solve for x
    x = 89,751,069,242.69/195,975.70
  6. Step 6: Final answer
    x = 457,970.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.