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Finding the Third Proportional to 82,314 and 177,444

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Solution

The third proportional to 82,314 and 177,444 is: 382,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314 : 177,444 = 177,444 : x
  2. Step 2: Convert to fraction form
    82,314/177,444 = 177,444/x
  3. Step 3: Cross multiply
    82,314x = 177,444 × 177,444
  4. Step 4: Simplify right side
    82,314x = 31,486,373,136
  5. Step 5: Solve for x
    x = 31,486,373,136/82,314
  6. Step 6: Final answer
    x = 382,515.41

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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.