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Finding the Third Proportional to 173,284 and 379,180

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Solution

The third proportional to 173,284 and 379,180 is: 829,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,284 : 379,180 = 379,180 : x
  2. Step 2: Convert to fraction form
    173,284/379,180 = 379,180/x
  3. Step 3: Cross multiply
    173,284x = 379,180 × 379,180
  4. Step 4: Simplify right side
    173,284x = 143,777,472,400
  5. Step 5: Solve for x
    x = 143,777,472,400/173,284
  6. Step 6: Final answer
    x = 829,721.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.