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Finding the Third Proportional to 199,623 and 273,514.50

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Solution

The third proportional to 199,623 and 273,514.50 is: 374,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,623 : 273,514.50 = 273,514.50 : x
  2. Step 2: Convert to fraction form
    199,623/273,514.50 = 273,514.50/x
  3. Step 3: Cross multiply
    199,623x = 273,514.50 × 273,514.50
  4. Step 4: Simplify right side
    199,623x = 74,810,181,710.25
  5. Step 5: Solve for x
    x = 74,810,181,710.25/199,623
  6. Step 6: Final answer
    x = 374,757.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.