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Finding the Third Proportional to 211,235.06 and 324,234.56

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Solution

The third proportional to 211,235.06 and 324,234.56 is: 497,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,235.06 : 324,234.56 = 324,234.56 : x
  2. Step 2: Convert to fraction form
    211,235.06/324,234.56 = 324,234.56/x
  3. Step 3: Cross multiply
    211,235.06x = 324,234.56 × 324,234.56
  4. Step 4: Simplify right side
    211,235.06x = 105,128,051,519.57
  5. Step 5: Solve for x
    x = 105,128,051,519.57/211,235.06
  6. Step 6: Final answer
    x = 497,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.