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Finding the Third Proportional to 213,087.94 and 355,102.31

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Solution

The third proportional to 213,087.94 and 355,102.31 is: 591,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,087.94 : 355,102.31 = 355,102.31 : x
  2. Step 2: Convert to fraction form
    213,087.94/355,102.31 = 355,102.31/x
  3. Step 3: Cross multiply
    213,087.94x = 355,102.31 × 355,102.31
  4. Step 4: Simplify right side
    213,087.94x = 126,097,652,342.85
  5. Step 5: Solve for x
    x = 126,097,652,342.85/213,087.94
  6. Step 6: Final answer
    x = 591,763.45

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.