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Finding the Third Proportional to 203,863.50 and 433,971

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Solution

The third proportional to 203,863.50 and 433,971 is: 923,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,863.50 : 433,971 = 433,971 : x
  2. Step 2: Convert to fraction form
    203,863.50/433,971 = 433,971/x
  3. Step 3: Cross multiply
    203,863.50x = 433,971 × 433,971
  4. Step 4: Simplify right side
    203,863.50x = 188,330,828,841
  5. Step 5: Solve for x
    x = 188,330,828,841/203,863.50
  6. Step 6: Final answer
    x = 923,808.47

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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.