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Finding the Third Proportional to 193,754.81 and 305,489.25

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Solution

The third proportional to 193,754.81 and 305,489.25 is: 481,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,754.81 : 305,489.25 = 305,489.25 : x
  2. Step 2: Convert to fraction form
    193,754.81/305,489.25 = 305,489.25/x
  3. Step 3: Cross multiply
    193,754.81x = 305,489.25 × 305,489.25
  4. Step 4: Simplify right side
    193,754.81x = 93,323,681,865.56
  5. Step 5: Solve for x
    x = 93,323,681,865.56/193,754.81
  6. Step 6: Final answer
    x = 481,658.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.