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Finding the Third Proportional to 98,416.50 and 236,199.75

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Solution

The third proportional to 98,416.50 and 236,199.75 is: 566,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.50 : 236,199.75 = 236,199.75 : x
  2. Step 2: Convert to fraction form
    98,416.50/236,199.75 = 236,199.75/x
  3. Step 3: Cross multiply
    98,416.50x = 236,199.75 × 236,199.75
  4. Step 4: Simplify right side
    98,416.50x = 55,790,321,900.06
  5. Step 5: Solve for x
    x = 55,790,321,900.06/98,416.50
  6. Step 6: Final answer
    x = 566,879.76

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.