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Finding the Third Proportional to 199,972.50 and 282,954

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Solution

The third proportional to 199,972.50 and 282,954 is: 400,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,972.50 : 282,954 = 282,954 : x
  2. Step 2: Convert to fraction form
    199,972.50/282,954 = 282,954/x
  3. Step 3: Cross multiply
    199,972.50x = 282,954 × 282,954
  4. Step 4: Simplify right side
    199,972.50x = 80,062,966,116
  5. Step 5: Solve for x
    x = 80,062,966,116/199,972.50
  6. Step 6: Final answer
    x = 400,369.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.