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Finding the Third Proportional to 223,119.56 and 339,903.84

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Solution

The third proportional to 223,119.56 and 339,903.84 is: 517,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,119.56 : 339,903.84 = 339,903.84 : x
  2. Step 2: Convert to fraction form
    223,119.56/339,903.84 = 339,903.84/x
  3. Step 3: Cross multiply
    223,119.56x = 339,903.84 × 339,903.84
  4. Step 4: Simplify right side
    223,119.56x = 115,534,622,996.02
  5. Step 5: Solve for x
    x = 115,534,622,996.02/223,119.56
  6. Step 6: Final answer
    x = 517,814.85

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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.