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Finding the Third Proportional to 275,171.63 and 380,224.13

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Solution

The third proportional to 275,171.63 and 380,224.13 is: 525,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,171.63 : 380,224.13 = 380,224.13 : x
  2. Step 2: Convert to fraction form
    275,171.63/380,224.13 = 380,224.13/x
  3. Step 3: Cross multiply
    275,171.63x = 380,224.13 × 380,224.13
  4. Step 4: Simplify right side
    275,171.63x = 144,570,385,232.02
  5. Step 5: Solve for x
    x = 144,570,385,232.02/275,171.63
  6. Step 6: Final answer
    x = 525,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.