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Finding the Third Proportional to 218,953.50 and 332,542.50

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Solution

The third proportional to 218,953.50 and 332,542.50 is: 505,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,953.50 : 332,542.50 = 332,542.50 : x
  2. Step 2: Convert to fraction form
    218,953.50/332,542.50 = 332,542.50/x
  3. Step 3: Cross multiply
    218,953.50x = 332,542.50 × 332,542.50
  4. Step 4: Simplify right side
    218,953.50x = 110,584,514,306.25
  5. Step 5: Solve for x
    x = 110,584,514,306.25/218,953.50
  6. Step 6: Final answer
    x = 505,059.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.