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Finding the Third Proportional to 76,216.50 and 175,295.25

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Solution

The third proportional to 76,216.50 and 175,295.25 is: 403,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,216.50 : 175,295.25 = 175,295.25 : x
  2. Step 2: Convert to fraction form
    76,216.50/175,295.25 = 175,295.25/x
  3. Step 3: Cross multiply
    76,216.50x = 175,295.25 × 175,295.25
  4. Step 4: Simplify right side
    76,216.50x = 30,728,424,672.56
  5. Step 5: Solve for x
    x = 30,728,424,672.56/76,216.50
  6. Step 6: Final answer
    x = 403,172.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.