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Finding the Third Proportional to 188,645 and 404,284

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Solution

The third proportional to 188,645 and 404,284 is: 866,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,645 : 404,284 = 404,284 : x
  2. Step 2: Convert to fraction form
    188,645/404,284 = 404,284/x
  3. Step 3: Cross multiply
    188,645x = 404,284 × 404,284
  4. Step 4: Simplify right side
    188,645x = 163,445,552,656
  5. Step 5: Solve for x
    x = 163,445,552,656/188,645
  6. Step 6: Final answer
    x = 866,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.