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Finding the Third Proportional to 185,619 and 282,781

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Solution

The third proportional to 185,619 and 282,781 is: 430,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,619 : 282,781 = 282,781 : x
  2. Step 2: Convert to fraction form
    185,619/282,781 = 282,781/x
  3. Step 3: Cross multiply
    185,619x = 282,781 × 282,781
  4. Step 4: Simplify right side
    185,619x = 79,965,093,961
  5. Step 5: Solve for x
    x = 79,965,093,961/185,619
  6. Step 6: Final answer
    x = 430,802.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.