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Finding the Third Proportional to 188,646 and 406,796

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Solution

The third proportional to 188,646 and 406,796 is: 877,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,646 : 406,796 = 406,796 : x
  2. Step 2: Convert to fraction form
    188,646/406,796 = 406,796/x
  3. Step 3: Cross multiply
    188,646x = 406,796 × 406,796
  4. Step 4: Simplify right side
    188,646x = 165,482,985,616
  5. Step 5: Solve for x
    x = 165,482,985,616/188,646
  6. Step 6: Final answer
    x = 877,214.39

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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.