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Finding the Third Proportional to 230,055.75 and 353,115

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Solution

The third proportional to 230,055.75 and 353,115 is: 541,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,055.75 : 353,115 = 353,115 : x
  2. Step 2: Convert to fraction form
    230,055.75/353,115 = 353,115/x
  3. Step 3: Cross multiply
    230,055.75x = 353,115 × 353,115
  4. Step 4: Simplify right side
    230,055.75x = 124,690,203,225
  5. Step 5: Solve for x
    x = 124,690,203,225/230,055.75
  6. Step 6: Final answer
    x = 541,999.94

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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.