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Finding the Third Proportional to 214,933.50 and 347,247

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Solution

The third proportional to 214,933.50 and 347,247 is: 561,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,933.50 : 347,247 = 347,247 : x
  2. Step 2: Convert to fraction form
    214,933.50/347,247 = 347,247/x
  3. Step 3: Cross multiply
    214,933.50x = 347,247 × 347,247
  4. Step 4: Simplify right side
    214,933.50x = 120,580,479,009
  5. Step 5: Solve for x
    x = 120,580,479,009/214,933.50
  6. Step 6: Final answer
    x = 561,012.96

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.