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Finding the Third Proportional to 252,735.75 and 369,220.50

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Solution

The third proportional to 252,735.75 and 369,220.50 is: 539,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,735.75 : 369,220.50 = 369,220.50 : x
  2. Step 2: Convert to fraction form
    252,735.75/369,220.50 = 369,220.50/x
  3. Step 3: Cross multiply
    252,735.75x = 369,220.50 × 369,220.50
  4. Step 4: Simplify right side
    252,735.75x = 136,323,777,620.25
  5. Step 5: Solve for x
    x = 136,323,777,620.25/252,735.75
  6. Step 6: Final answer
    x = 539,392.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.