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Finding the Third Proportional to 208,873.50 and 441,558

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Solution

The third proportional to 208,873.50 and 441,558 is: 933,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,873.50 : 441,558 = 441,558 : x
  2. Step 2: Convert to fraction form
    208,873.50/441,558 = 441,558/x
  3. Step 3: Cross multiply
    208,873.50x = 441,558 × 441,558
  4. Step 4: Simplify right side
    208,873.50x = 194,973,467,364
  5. Step 5: Solve for x
    x = 194,973,467,364/208,873.50
  6. Step 6: Final answer
    x = 933,452.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.