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Finding the Third Proportional to 236,781 and 361,080

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Solution

The third proportional to 236,781 and 361,080 is: 550,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,781 : 361,080 = 361,080 : x
  2. Step 2: Convert to fraction form
    236,781/361,080 = 361,080/x
  3. Step 3: Cross multiply
    236,781x = 361,080 × 361,080
  4. Step 4: Simplify right side
    236,781x = 130,378,766,400
  5. Step 5: Solve for x
    x = 130,378,766,400/236,781
  6. Step 6: Final answer
    x = 550,630.19

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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.