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Finding the Third Proportional to 200,067 and 308,419.50

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Solution

The third proportional to 200,067 and 308,419.50 is: 475,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,067 : 308,419.50 = 308,419.50 : x
  2. Step 2: Convert to fraction form
    200,067/308,419.50 = 308,419.50/x
  3. Step 3: Cross multiply
    200,067x = 308,419.50 × 308,419.50
  4. Step 4: Simplify right side
    200,067x = 95,122,587,980.25
  5. Step 5: Solve for x
    x = 95,122,587,980.25/200,067
  6. Step 6: Final answer
    x = 475,453.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.