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Finding the Third Proportional to 175,781 and 380,722

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Solution

The third proportional to 175,781 and 380,722 is: 824,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,781 : 380,722 = 380,722 : x
  2. Step 2: Convert to fraction form
    175,781/380,722 = 380,722/x
  3. Step 3: Cross multiply
    175,781x = 380,722 × 380,722
  4. Step 4: Simplify right side
    175,781x = 144,949,241,284
  5. Step 5: Solve for x
    x = 144,949,241,284/175,781
  6. Step 6: Final answer
    x = 824,601.30

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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.