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Finding the Third Proportional to 199,563.75 and 293,496.75

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Solution

The third proportional to 199,563.75 and 293,496.75 is: 431,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,563.75 : 293,496.75 = 293,496.75 : x
  2. Step 2: Convert to fraction form
    199,563.75/293,496.75 = 293,496.75/x
  3. Step 3: Cross multiply
    199,563.75x = 293,496.75 × 293,496.75
  4. Step 4: Simplify right side
    199,563.75x = 86,140,342,260.56
  5. Step 5: Solve for x
    x = 86,140,342,260.56/199,563.75
  6. Step 6: Final answer
    x = 431,643.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.