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Finding the Third Proportional to 188,636 and 405,363

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Solution

The third proportional to 188,636 and 405,363 is: 871,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,636 : 405,363 = 405,363 : x
  2. Step 2: Convert to fraction form
    188,636/405,363 = 405,363/x
  3. Step 3: Cross multiply
    188,636x = 405,363 × 405,363
  4. Step 4: Simplify right side
    188,636x = 164,319,161,769
  5. Step 5: Solve for x
    x = 164,319,161,769/188,636
  6. Step 6: Final answer
    x = 871,091.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.