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Finding the Third Proportional to 217,134 and 335,543.63

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Solution

The third proportional to 217,134 and 335,543.63 is: 518,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,134 : 335,543.63 = 335,543.63 : x
  2. Step 2: Convert to fraction form
    217,134/335,543.63 = 335,543.63/x
  3. Step 3: Cross multiply
    217,134x = 335,543.63 × 335,543.63
  4. Step 4: Simplify right side
    217,134x = 112,589,524,278.14
  5. Step 5: Solve for x
    x = 112,589,524,278.14/217,134
  6. Step 6: Final answer
    x = 518,525.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.