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Finding the Third Proportional to 118,556 and 210,796

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Solution

The third proportional to 118,556 and 210,796 is: 374,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,556 : 210,796 = 210,796 : x
  2. Step 2: Convert to fraction form
    118,556/210,796 = 210,796/x
  3. Step 3: Cross multiply
    118,556x = 210,796 × 210,796
  4. Step 4: Simplify right side
    118,556x = 44,434,953,616
  5. Step 5: Solve for x
    x = 44,434,953,616/118,556
  6. Step 6: Final answer
    x = 374,801.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.