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Finding the Third Proportional to 186,786 and 256,851

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Solution

The third proportional to 186,786 and 256,851 is: 353,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,786 : 256,851 = 256,851 : x
  2. Step 2: Convert to fraction form
    186,786/256,851 = 256,851/x
  3. Step 3: Cross multiply
    186,786x = 256,851 × 256,851
  4. Step 4: Simplify right side
    186,786x = 65,972,436,201
  5. Step 5: Solve for x
    x = 65,972,436,201/186,786
  6. Step 6: Final answer
    x = 353,197.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.