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Finding the Third Proportional to 109,790.50 and 236,225

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Solution

The third proportional to 109,790.50 and 236,225 is: 508,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,790.50 : 236,225 = 236,225 : x
  2. Step 2: Convert to fraction form
    109,790.50/236,225 = 236,225/x
  3. Step 3: Cross multiply
    109,790.50x = 236,225 × 236,225
  4. Step 4: Simplify right side
    109,790.50x = 55,802,250,625
  5. Step 5: Solve for x
    x = 55,802,250,625/109,790.50
  6. Step 6: Final answer
    x = 508,261.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.