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Finding the Third Proportional to 116,786 and 256,180

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Solution

The third proportional to 116,786 and 256,180 is: 561,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,786 : 256,180 = 256,180 : x
  2. Step 2: Convert to fraction form
    116,786/256,180 = 256,180/x
  3. Step 3: Cross multiply
    116,786x = 256,180 × 256,180
  4. Step 4: Simplify right side
    116,786x = 65,628,192,400
  5. Step 5: Solve for x
    x = 65,628,192,400/116,786
  6. Step 6: Final answer
    x = 561,952.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.