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Finding the Third Proportional to 235,305.84 and 353,495.39

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Solution

The third proportional to 235,305.84 and 353,495.39 is: 531,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,305.84 : 353,495.39 = 353,495.39 : x
  2. Step 2: Convert to fraction form
    235,305.84/353,495.39 = 353,495.39/x
  3. Step 3: Cross multiply
    235,305.84x = 353,495.39 × 353,495.39
  4. Step 4: Simplify right side
    235,305.84x = 124,958,991,193.12
  5. Step 5: Solve for x
    x = 124,958,991,193.12/235,305.84
  6. Step 6: Final answer
    x = 531,049.25

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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.