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Finding the Third Proportional to 208,676.25 and 301,441.50

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Solution

The third proportional to 208,676.25 and 301,441.50 is: 435,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,676.25 : 301,441.50 = 301,441.50 : x
  2. Step 2: Convert to fraction form
    208,676.25/301,441.50 = 301,441.50/x
  3. Step 3: Cross multiply
    208,676.25x = 301,441.50 × 301,441.50
  4. Step 4: Simplify right side
    208,676.25x = 90,866,977,922.25
  5. Step 5: Solve for x
    x = 90,866,977,922.25/208,676.25
  6. Step 6: Final answer
    x = 435,444.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.