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Finding the Third Proportional to 175,360 and 380,512

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Solution

The third proportional to 175,360 and 380,512 is: 825,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,360 : 380,512 = 380,512 : x
  2. Step 2: Convert to fraction form
    175,360/380,512 = 380,512/x
  3. Step 3: Cross multiply
    175,360x = 380,512 × 380,512
  4. Step 4: Simplify right side
    175,360x = 144,789,382,144
  5. Step 5: Solve for x
    x = 144,789,382,144/175,360
  6. Step 6: Final answer
    x = 825,669.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.