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Finding the Third Proportional to 177,126 and 382,234

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Solution

The third proportional to 177,126 and 382,234 is: 824,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,126 : 382,234 = 382,234 : x
  2. Step 2: Convert to fraction form
    177,126/382,234 = 382,234/x
  3. Step 3: Cross multiply
    177,126x = 382,234 × 382,234
  4. Step 4: Simplify right side
    177,126x = 146,102,830,756
  5. Step 5: Solve for x
    x = 146,102,830,756/177,126
  6. Step 6: Final answer
    x = 824,852.54

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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.