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Finding the Third Proportional to 104,512.50 and 229,834.50

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Solution

The third proportional to 104,512.50 and 229,834.50 is: 505,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,512.50 : 229,834.50 = 229,834.50 : x
  2. Step 2: Convert to fraction form
    104,512.50/229,834.50 = 229,834.50/x
  3. Step 3: Cross multiply
    104,512.50x = 229,834.50 × 229,834.50
  4. Step 4: Simplify right side
    104,512.50x = 52,823,897,390.25
  5. Step 5: Solve for x
    x = 52,823,897,390.25/104,512.50
  6. Step 6: Final answer
    x = 505,431.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.