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Finding the Third Proportional to 155,422.13 and 233,709.75

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Solution

The third proportional to 155,422.13 and 233,709.75 is: 351,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422.13 : 233,709.75 = 233,709.75 : x
  2. Step 2: Convert to fraction form
    155,422.13/233,709.75 = 233,709.75/x
  3. Step 3: Cross multiply
    155,422.13x = 233,709.75 × 233,709.75
  4. Step 4: Simplify right side
    155,422.13x = 54,620,247,245.06
  5. Step 5: Solve for x
    x = 54,620,247,245.06/155,422.13
  6. Step 6: Final answer
    x = 351,431.61

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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.