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Finding the Third Proportional to 221,676.75 and 343,950.75

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Solution

The third proportional to 221,676.75 and 343,950.75 is: 533,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676.75 : 343,950.75 = 343,950.75 : x
  2. Step 2: Convert to fraction form
    221,676.75/343,950.75 = 343,950.75/x
  3. Step 3: Cross multiply
    221,676.75x = 343,950.75 × 343,950.75
  4. Step 4: Simplify right side
    221,676.75x = 118,302,118,425.56
  5. Step 5: Solve for x
    x = 118,302,118,425.56/221,676.75
  6. Step 6: Final answer
    x = 533,669.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.