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Finding the Third Proportional to 205,152.75 and 443,103.75

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Solution

The third proportional to 205,152.75 and 443,103.75 is: 957,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,152.75 : 443,103.75 = 443,103.75 : x
  2. Step 2: Convert to fraction form
    205,152.75/443,103.75 = 443,103.75/x
  3. Step 3: Cross multiply
    205,152.75x = 443,103.75 × 443,103.75
  4. Step 4: Simplify right side
    205,152.75x = 196,340,933,264.06
  5. Step 5: Solve for x
    x = 196,340,933,264.06/205,152.75
  6. Step 6: Final answer
    x = 957,047.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.