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Finding the Third Proportional to 236,444 and 331,778

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Solution

The third proportional to 236,444 and 331,778 is: 465,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,444 : 331,778 = 331,778 : x
  2. Step 2: Convert to fraction form
    236,444/331,778 = 331,778/x
  3. Step 3: Cross multiply
    236,444x = 331,778 × 331,778
  4. Step 4: Simplify right side
    236,444x = 110,076,641,284
  5. Step 5: Solve for x
    x = 110,076,641,284/236,444
  6. Step 6: Final answer
    x = 465,550.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.