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Finding the Third Proportional to 235,311.75 and 353,503.69

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Solution

The third proportional to 235,311.75 and 353,503.69 is: 531,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,311.75 : 353,503.69 = 353,503.69 : x
  2. Step 2: Convert to fraction form
    235,311.75/353,503.69 = 353,503.69/x
  3. Step 3: Cross multiply
    235,311.75x = 353,503.69 × 353,503.69
  4. Step 4: Simplify right side
    235,311.75x = 124,964,857,076.10
  5. Step 5: Solve for x
    x = 124,964,857,076.10/235,311.75
  6. Step 6: Final answer
    x = 531,060.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.