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Finding the Third Proportional to 188,161.50 and 406,993.50

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Solution

The third proportional to 188,161.50 and 406,993.50 is: 880,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,161.50 : 406,993.50 = 406,993.50 : x
  2. Step 2: Convert to fraction form
    188,161.50/406,993.50 = 406,993.50/x
  3. Step 3: Cross multiply
    188,161.50x = 406,993.50 × 406,993.50
  4. Step 4: Simplify right side
    188,161.50x = 165,643,709,042.25
  5. Step 5: Solve for x
    x = 165,643,709,042.25/188,161.50
  6. Step 6: Final answer
    x = 880,327.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.