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Finding the Third Proportional to 179,383 and 380,632

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Solution

The third proportional to 179,383 and 380,632 is: 807,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,383 : 380,632 = 380,632 : x
  2. Step 2: Convert to fraction form
    179,383/380,632 = 380,632/x
  3. Step 3: Cross multiply
    179,383x = 380,632 × 380,632
  4. Step 4: Simplify right side
    179,383x = 144,880,719,424
  5. Step 5: Solve for x
    x = 144,880,719,424/179,383
  6. Step 6: Final answer
    x = 807,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.