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Finding the Third Proportional to 188,411 and 404,119

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Solution

The third proportional to 188,411 and 404,119 is: 866,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,411 : 404,119 = 404,119 : x
  2. Step 2: Convert to fraction form
    188,411/404,119 = 404,119/x
  3. Step 3: Cross multiply
    188,411x = 404,119 × 404,119
  4. Step 4: Simplify right side
    188,411x = 163,312,166,161
  5. Step 5: Solve for x
    x = 163,312,166,161/188,411
  6. Step 6: Final answer
    x = 866,786.79

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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.