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Finding the Third Proportional to 201,946.50 and 410,517

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Solution

The third proportional to 201,946.50 and 410,517 is: 834,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,946.50 : 410,517 = 410,517 : x
  2. Step 2: Convert to fraction form
    201,946.50/410,517 = 410,517/x
  3. Step 3: Cross multiply
    201,946.50x = 410,517 × 410,517
  4. Step 4: Simplify right side
    201,946.50x = 168,524,207,289
  5. Step 5: Solve for x
    x = 168,524,207,289/201,946.50
  6. Step 6: Final answer
    x = 834,499.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.