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Finding the Third Proportional to 199,939.50 and 433,773

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Solution

The third proportional to 199,939.50 and 433,773 is: 941,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,939.50 : 433,773 = 433,773 : x
  2. Step 2: Convert to fraction form
    199,939.50/433,773 = 433,773/x
  3. Step 3: Cross multiply
    199,939.50x = 433,773 × 433,773
  4. Step 4: Simplify right side
    199,939.50x = 188,159,015,529
  5. Step 5: Solve for x
    x = 188,159,015,529/199,939.50
  6. Step 6: Final answer
    x = 941,079.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.