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Finding the Third Proportional to 235,999.13 and 353,917.69

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Solution

The third proportional to 235,999.13 and 353,917.69 is: 530,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,999.13 : 353,917.69 = 353,917.69 : x
  2. Step 2: Convert to fraction form
    235,999.13/353,917.69 = 353,917.69/x
  3. Step 3: Cross multiply
    235,999.13x = 353,917.69 × 353,917.69
  4. Step 4: Simplify right side
    235,999.13x = 125,257,729,525.35
  5. Step 5: Solve for x
    x = 125,257,729,525.35/235,999.13
  6. Step 6: Final answer
    x = 530,755.06

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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.