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Finding the Third Proportional to 252,796.25 and 355,575.76

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Solution

The third proportional to 252,796.25 and 355,575.76 is: 500,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,796.25 : 355,575.76 = 355,575.76 : x
  2. Step 2: Convert to fraction form
    252,796.25/355,575.76 = 355,575.76/x
  3. Step 3: Cross multiply
    252,796.25x = 355,575.76 × 355,575.76
  4. Step 4: Simplify right side
    252,796.25x = 126,434,122,321.87
  5. Step 5: Solve for x
    x = 126,434,122,321.87/252,796.25
  6. Step 6: Final answer
    x = 500,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.