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Finding the Third Proportional to 235,620.75 and 333,132.75

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Solution

The third proportional to 235,620.75 and 333,132.75 is: 471,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,620.75 : 333,132.75 = 333,132.75 : x
  2. Step 2: Convert to fraction form
    235,620.75/333,132.75 = 333,132.75/x
  3. Step 3: Cross multiply
    235,620.75x = 333,132.75 × 333,132.75
  4. Step 4: Simplify right side
    235,620.75x = 110,977,429,122.56
  5. Step 5: Solve for x
    x = 110,977,429,122.56/235,620.75
  6. Step 6: Final answer
    x = 471,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.