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Finding the Third Proportional to 221,166 and 335,853

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Solution

The third proportional to 221,166 and 335,853 is: 510,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,166 : 335,853 = 335,853 : x
  2. Step 2: Convert to fraction form
    221,166/335,853 = 335,853/x
  3. Step 3: Cross multiply
    221,166x = 335,853 × 335,853
  4. Step 4: Simplify right side
    221,166x = 112,797,237,609
  5. Step 5: Solve for x
    x = 112,797,237,609/221,166
  6. Step 6: Final answer
    x = 510,011.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.