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Finding the Third Proportional to 201,941.25 and 410,503.75

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Solution

The third proportional to 201,941.25 and 410,503.75 is: 834,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,941.25 : 410,503.75 = 410,503.75 : x
  2. Step 2: Convert to fraction form
    201,941.25/410,503.75 = 410,503.75/x
  3. Step 3: Cross multiply
    201,941.25x = 410,503.75 × 410,503.75
  4. Step 4: Simplify right side
    201,941.25x = 168,513,328,764.06
  5. Step 5: Solve for x
    x = 168,513,328,764.06/201,941.25
  6. Step 6: Final answer
    x = 834,467.10

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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.