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Finding the Third Proportional to 235,185.75 and 353,308.13

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Solution

The third proportional to 235,185.75 and 353,308.13 is: 530,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,185.75 : 353,308.13 = 353,308.13 : x
  2. Step 2: Convert to fraction form
    235,185.75/353,308.13 = 353,308.13/x
  3. Step 3: Cross multiply
    235,185.75x = 353,308.13 × 353,308.13
  4. Step 4: Simplify right side
    235,185.75x = 124,826,631,191.02
  5. Step 5: Solve for x
    x = 124,826,631,191.02/235,185.75
  6. Step 6: Final answer
    x = 530,757.63

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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.