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Finding the Third Proportional to 177,777 and 376,467.75

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Solution

The third proportional to 177,777 and 376,467.75 is: 797,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,777 : 376,467.75 = 376,467.75 : x
  2. Step 2: Convert to fraction form
    177,777/376,467.75 = 376,467.75/x
  3. Step 3: Cross multiply
    177,777x = 376,467.75 × 376,467.75
  4. Step 4: Simplify right side
    177,777x = 141,727,966,790.06
  5. Step 5: Solve for x
    x = 141,727,966,790.06/177,777
  6. Step 6: Final answer
    x = 797,223.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.