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Finding the Third Proportional to 155,230.25 and 227,734.50

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Solution

The third proportional to 155,230.25 and 227,734.50 is: 334,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,230.25 : 227,734.50 = 227,734.50 : x
  2. Step 2: Convert to fraction form
    155,230.25/227,734.50 = 227,734.50/x
  3. Step 3: Cross multiply
    155,230.25x = 227,734.50 × 227,734.50
  4. Step 4: Simplify right side
    155,230.25x = 51,863,002,490.25
  5. Step 5: Solve for x
    x = 51,863,002,490.25/155,230.25
  6. Step 6: Final answer
    x = 334,103.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.