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Finding the Third Proportional to 203,559.75 and 435,073.50

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Solution

The third proportional to 203,559.75 and 435,073.50 is: 929,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,559.75 : 435,073.50 = 435,073.50 : x
  2. Step 2: Convert to fraction form
    203,559.75/435,073.50 = 435,073.50/x
  3. Step 3: Cross multiply
    203,559.75x = 435,073.50 × 435,073.50
  4. Step 4: Simplify right side
    203,559.75x = 189,288,950,402.25
  5. Step 5: Solve for x
    x = 189,288,950,402.25/203,559.75
  6. Step 6: Final answer
    x = 929,893.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.