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Finding the Third Proportional to 177,786 and 259,659

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Solution

The third proportional to 177,786 and 259,659 is: 379,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,786 : 259,659 = 259,659 : x
  2. Step 2: Convert to fraction form
    177,786/259,659 = 259,659/x
  3. Step 3: Cross multiply
    177,786x = 259,659 × 259,659
  4. Step 4: Simplify right side
    177,786x = 67,422,796,281
  5. Step 5: Solve for x
    x = 67,422,796,281/177,786
  6. Step 6: Final answer
    x = 379,235.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.