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Finding the Third Proportional to 236,620 and 513,166

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Solution

The third proportional to 236,620 and 513,166 is: 1,112,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,620 : 513,166 = 513,166 : x
  2. Step 2: Convert to fraction form
    236,620/513,166 = 513,166/x
  3. Step 3: Cross multiply
    236,620x = 513,166 × 513,166
  4. Step 4: Simplify right side
    236,620x = 263,339,343,556
  5. Step 5: Solve for x
    x = 263,339,343,556/236,620
  6. Step 6: Final answer
    x = 1,112,920.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.