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Finding the Third Proportional to 252,796.36 and 355,575.89

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Solution

The third proportional to 252,796.36 and 355,575.89 is: 500,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,796.36 : 355,575.89 = 355,575.89 : x
  2. Step 2: Convert to fraction form
    252,796.36/355,575.89 = 355,575.89/x
  3. Step 3: Cross multiply
    252,796.36x = 355,575.89 × 355,575.89
  4. Step 4: Simplify right side
    252,796.36x = 126,434,213,993.76
  5. Step 5: Solve for x
    x = 126,434,213,993.76/252,796.36
  6. Step 6: Final answer
    x = 500,142.54

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