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Finding the Third Proportional to 116,421 and 223,851

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Solution

The third proportional to 116,421 and 223,851 is: 430,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,421 : 223,851 = 223,851 : x
  2. Step 2: Convert to fraction form
    116,421/223,851 = 223,851/x
  3. Step 3: Cross multiply
    116,421x = 223,851 × 223,851
  4. Step 4: Simplify right side
    116,421x = 50,109,270,201
  5. Step 5: Solve for x
    x = 50,109,270,201/116,421
  6. Step 6: Final answer
    x = 430,414.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.