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Finding the Third Proportional to 196,040.25 and 293,280.75

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Solution

The third proportional to 196,040.25 and 293,280.75 is: 438,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,040.25 : 293,280.75 = 293,280.75 : x
  2. Step 2: Convert to fraction form
    196,040.25/293,280.75 = 293,280.75/x
  3. Step 3: Cross multiply
    196,040.25x = 293,280.75 × 293,280.75
  4. Step 4: Simplify right side
    196,040.25x = 86,013,598,320.56
  5. Step 5: Solve for x
    x = 86,013,598,320.56/196,040.25
  6. Step 6: Final answer
    x = 438,754.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.