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Finding the Third Proportional to 180,420.75 and 252,238.75

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Solution

The third proportional to 180,420.75 and 252,238.75 is: 352,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,420.75 : 252,238.75 = 252,238.75 : x
  2. Step 2: Convert to fraction form
    180,420.75/252,238.75 = 252,238.75/x
  3. Step 3: Cross multiply
    180,420.75x = 252,238.75 × 252,238.75
  4. Step 4: Simplify right side
    180,420.75x = 63,624,387,001.56
  5. Step 5: Solve for x
    x = 63,624,387,001.56/180,420.75
  6. Step 6: Final answer
    x = 352,644.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.