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Finding the Third Proportional to 223,161 and 464,372

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Solution

The third proportional to 223,161 and 464,372 is: 966,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,161 : 464,372 = 464,372 : x
  2. Step 2: Convert to fraction form
    223,161/464,372 = 464,372/x
  3. Step 3: Cross multiply
    223,161x = 464,372 × 464,372
  4. Step 4: Simplify right side
    223,161x = 215,641,354,384
  5. Step 5: Solve for x
    x = 215,641,354,384/223,161
  6. Step 6: Final answer
    x = 966,303.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.