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Finding the Third Proportional to 177,498 and 382,064

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Solution

The third proportional to 177,498 and 382,064 is: 822,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,498 : 382,064 = 382,064 : x
  2. Step 2: Convert to fraction form
    177,498/382,064 = 382,064/x
  3. Step 3: Cross multiply
    177,498x = 382,064 × 382,064
  4. Step 4: Simplify right side
    177,498x = 145,972,900,096
  5. Step 5: Solve for x
    x = 145,972,900,096/177,498
  6. Step 6: Final answer
    x = 822,391.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.