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Finding the Third Proportional to 236,401 and 353,764

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Solution

The third proportional to 236,401 and 353,764 is: 529,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,401 : 353,764 = 353,764 : x
  2. Step 2: Convert to fraction form
    236,401/353,764 = 353,764/x
  3. Step 3: Cross multiply
    236,401x = 353,764 × 353,764
  4. Step 4: Simplify right side
    236,401x = 125,148,967,696
  5. Step 5: Solve for x
    x = 125,148,967,696/236,401
  6. Step 6: Final answer
    x = 529,392.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.