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Finding the Third Proportional to 199,953.75 and 317,993.25

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Solution

The third proportional to 199,953.75 and 317,993.25 is: 505,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,953.75 : 317,993.25 = 317,993.25 : x
  2. Step 2: Convert to fraction form
    199,953.75/317,993.25 = 317,993.25/x
  3. Step 3: Cross multiply
    199,953.75x = 317,993.25 × 317,993.25
  4. Step 4: Simplify right side
    199,953.75x = 101,119,707,045.56
  5. Step 5: Solve for x
    x = 101,119,707,045.56/199,953.75
  6. Step 6: Final answer
    x = 505,715.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.