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Finding the Third Proportional to 235,107.56 and 352,114.59

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Solution

The third proportional to 235,107.56 and 352,114.59 is: 527,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,107.56 : 352,114.59 = 352,114.59 : x
  2. Step 2: Convert to fraction form
    235,107.56/352,114.59 = 352,114.59/x
  3. Step 3: Cross multiply
    235,107.56x = 352,114.59 × 352,114.59
  4. Step 4: Simplify right side
    235,107.56x = 123,984,687,131.73
  5. Step 5: Solve for x
    x = 123,984,687,131.73/235,107.56
  6. Step 6: Final answer
    x = 527,353.04

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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.