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Finding the Third Proportional to 213,909.75 and 320,197.50

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Solution

The third proportional to 213,909.75 and 320,197.50 is: 479,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,909.75 : 320,197.50 = 320,197.50 : x
  2. Step 2: Convert to fraction form
    213,909.75/320,197.50 = 320,197.50/x
  3. Step 3: Cross multiply
    213,909.75x = 320,197.50 × 320,197.50
  4. Step 4: Simplify right side
    213,909.75x = 102,526,439,006.25
  5. Step 5: Solve for x
    x = 102,526,439,006.25/213,909.75
  6. Step 6: Final answer
    x = 479,297.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.