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Finding the Third Proportional to 188,543.25 and 406,604.25

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Solution

The third proportional to 188,543.25 and 406,604.25 is: 876,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,543.25 : 406,604.25 = 406,604.25 : x
  2. Step 2: Convert to fraction form
    188,543.25/406,604.25 = 406,604.25/x
  3. Step 3: Cross multiply
    188,543.25x = 406,604.25 × 406,604.25
  4. Step 4: Simplify right side
    188,543.25x = 165,327,016,118.06
  5. Step 5: Solve for x
    x = 165,327,016,118.06/188,543.25
  6. Step 6: Final answer
    x = 876,865.21

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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.