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Finding the Third Proportional to 252,625.50 and 381,556.13

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Solution

The third proportional to 252,625.50 and 381,556.13 is: 576,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,625.50 : 381,556.13 = 381,556.13 : x
  2. Step 2: Convert to fraction form
    252,625.50/381,556.13 = 381,556.13/x
  3. Step 3: Cross multiply
    252,625.50x = 381,556.13 × 381,556.13
  4. Step 4: Simplify right side
    252,625.50x = 145,585,076,525.02
  5. Step 5: Solve for x
    x = 145,585,076,525.02/252,625.50
  6. Step 6: Final answer
    x = 576,288.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.