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Finding the Third Proportional to 237,046.50 and 355,205.25

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Solution

The third proportional to 237,046.50 and 355,205.25 is: 532,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,046.50 : 355,205.25 = 355,205.25 : x
  2. Step 2: Convert to fraction form
    237,046.50/355,205.25 = 355,205.25/x
  3. Step 3: Cross multiply
    237,046.50x = 355,205.25 × 355,205.25
  4. Step 4: Simplify right side
    237,046.50x = 126,170,769,627.56
  5. Step 5: Solve for x
    x = 126,170,769,627.56/237,046.50
  6. Step 6: Final answer
    x = 532,261.69

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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.