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Finding the Third Proportional to 200,932.75 and 273,636.25

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Solution

The third proportional to 200,932.75 and 273,636.25 is: 372,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,932.75 : 273,636.25 = 273,636.25 : x
  2. Step 2: Convert to fraction form
    200,932.75/273,636.25 = 273,636.25/x
  3. Step 3: Cross multiply
    200,932.75x = 273,636.25 × 273,636.25
  4. Step 4: Simplify right side
    200,932.75x = 74,876,797,314.06
  5. Step 5: Solve for x
    x = 74,876,797,314.06/200,932.75
  6. Step 6: Final answer
    x = 372,646.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.