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Finding the Third Proportional to 233,934.75 and 355,826.25

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Solution

The third proportional to 233,934.75 and 355,826.25 is: 541,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,934.75 : 355,826.25 = 355,826.25 : x
  2. Step 2: Convert to fraction form
    233,934.75/355,826.25 = 355,826.25/x
  3. Step 3: Cross multiply
    233,934.75x = 355,826.25 × 355,826.25
  4. Step 4: Simplify right side
    233,934.75x = 126,612,320,189.06
  5. Step 5: Solve for x
    x = 126,612,320,189.06/233,934.75
  6. Step 6: Final answer
    x = 541,229.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.