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Finding the Third Proportional to 190,131 and 410,406

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Solution

The third proportional to 190,131 and 410,406 is: 885,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,131 : 410,406 = 410,406 : x
  2. Step 2: Convert to fraction form
    190,131/410,406 = 410,406/x
  3. Step 3: Cross multiply
    190,131x = 410,406 × 410,406
  4. Step 4: Simplify right side
    190,131x = 168,433,084,836
  5. Step 5: Solve for x
    x = 168,433,084,836/190,131
  6. Step 6: Final answer
    x = 885,879.13

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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.