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Finding the Third Proportional to 103,225.50 and 211,734

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Solution

The third proportional to 103,225.50 and 211,734 is: 434,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,225.50 : 211,734 = 211,734 : x
  2. Step 2: Convert to fraction form
    103,225.50/211,734 = 211,734/x
  3. Step 3: Cross multiply
    103,225.50x = 211,734 × 211,734
  4. Step 4: Simplify right side
    103,225.50x = 44,831,286,756
  5. Step 5: Solve for x
    x = 44,831,286,756/103,225.50
  6. Step 6: Final answer
    x = 434,304.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.