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Finding the Third Proportional to 203,503.50 and 434,025

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Solution

The third proportional to 203,503.50 and 434,025 is: 925,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503.50 : 434,025 = 434,025 : x
  2. Step 2: Convert to fraction form
    203,503.50/434,025 = 434,025/x
  3. Step 3: Cross multiply
    203,503.50x = 434,025 × 434,025
  4. Step 4: Simplify right side
    203,503.50x = 188,377,700,625
  5. Step 5: Solve for x
    x = 188,377,700,625/203,503.50
  6. Step 6: Final answer
    x = 925,673.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.