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Finding the Third Proportional to 180,462.94 and 252,306.56

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Solution

The third proportional to 180,462.94 and 252,306.56 is: 352,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462.94 : 252,306.56 = 252,306.56 : x
  2. Step 2: Convert to fraction form
    180,462.94/252,306.56 = 252,306.56/x
  3. Step 3: Cross multiply
    180,462.94x = 252,306.56 × 252,306.56
  4. Step 4: Simplify right side
    180,462.94x = 63,658,601,480.57
  5. Step 5: Solve for x
    x = 63,658,601,480.57/180,462.94
  6. Step 6: Final answer
    x = 352,751.66

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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.