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Finding the Third Proportional to 104,575.50 and 229,653

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Solution

The third proportional to 104,575.50 and 229,653 is: 504,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,575.50 : 229,653 = 229,653 : x
  2. Step 2: Convert to fraction form
    104,575.50/229,653 = 229,653/x
  3. Step 3: Cross multiply
    104,575.50x = 229,653 × 229,653
  4. Step 4: Simplify right side
    104,575.50x = 52,740,500,409
  5. Step 5: Solve for x
    x = 52,740,500,409/104,575.50
  6. Step 6: Final answer
    x = 504,329.41

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