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Finding the Third Proportional to 200,786.63 and 295,625.25

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Solution

The third proportional to 200,786.63 and 295,625.25 is: 435,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,786.63 : 295,625.25 = 295,625.25 : x
  2. Step 2: Convert to fraction form
    200,786.63/295,625.25 = 295,625.25/x
  3. Step 3: Cross multiply
    200,786.63x = 295,625.25 × 295,625.25
  4. Step 4: Simplify right side
    200,786.63x = 87,394,288,437.56
  5. Step 5: Solve for x
    x = 87,394,288,437.56/200,786.63
  6. Step 6: Final answer
    x = 435,259.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.