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Finding the Third Proportional to 118,231.50 and 262,707

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Solution

The third proportional to 118,231.50 and 262,707 is: 583,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,231.50 : 262,707 = 262,707 : x
  2. Step 2: Convert to fraction form
    118,231.50/262,707 = 262,707/x
  3. Step 3: Cross multiply
    118,231.50x = 262,707 × 262,707
  4. Step 4: Simplify right side
    118,231.50x = 69,014,967,849
  5. Step 5: Solve for x
    x = 69,014,967,849/118,231.50
  6. Step 6: Final answer
    x = 583,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.