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Finding the Third Proportional to 177,296 and 382,778

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Solution

The third proportional to 177,296 and 382,778 is: 826,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,296 : 382,778 = 382,778 : x
  2. Step 2: Convert to fraction form
    177,296/382,778 = 382,778/x
  3. Step 3: Cross multiply
    177,296x = 382,778 × 382,778
  4. Step 4: Simplify right side
    177,296x = 146,518,997,284
  5. Step 5: Solve for x
    x = 146,518,997,284/177,296
  6. Step 6: Final answer
    x = 826,408.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.