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Finding the Third Proportional to 82,374 and 177,573

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Solution

The third proportional to 82,374 and 177,573 is: 382,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,374 : 177,573 = 177,573 : x
  2. Step 2: Convert to fraction form
    82,374/177,573 = 177,573/x
  3. Step 3: Cross multiply
    82,374x = 177,573 × 177,573
  4. Step 4: Simplify right side
    82,374x = 31,532,170,329
  5. Step 5: Solve for x
    x = 31,532,170,329/82,374
  6. Step 6: Final answer
    x = 382,792.75

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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.