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Finding the Third Proportional to 177,788 and 259,660

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Solution

The third proportional to 177,788 and 259,660 is: 379,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788 : 259,660 = 259,660 : x
  2. Step 2: Convert to fraction form
    177,788/259,660 = 259,660/x
  3. Step 3: Cross multiply
    177,788x = 259,660 × 259,660
  4. Step 4: Simplify right side
    177,788x = 67,423,315,600
  5. Step 5: Solve for x
    x = 67,423,315,600/177,788
  6. Step 6: Final answer
    x = 379,234.34

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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.