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Finding the Third Proportional to 200,103.75 and 355,839.75

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Solution

The third proportional to 200,103.75 and 355,839.75 is: 632,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,103.75 : 355,839.75 = 355,839.75 : x
  2. Step 2: Convert to fraction form
    200,103.75/355,839.75 = 355,839.75/x
  3. Step 3: Cross multiply
    200,103.75x = 355,839.75 × 355,839.75
  4. Step 4: Simplify right side
    200,103.75x = 126,621,927,680.06
  5. Step 5: Solve for x
    x = 126,621,927,680.06/200,103.75
  6. Step 6: Final answer
    x = 632,781.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.