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Finding the Third Proportional to 250,867.13 and 541,100.25

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Solution

The third proportional to 250,867.13 and 541,100.25 is: 1,167,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,867.13 : 541,100.25 = 541,100.25 : x
  2. Step 2: Convert to fraction form
    250,867.13/541,100.25 = 541,100.25/x
  3. Step 3: Cross multiply
    250,867.13x = 541,100.25 × 541,100.25
  4. Step 4: Simplify right side
    250,867.13x = 292,789,480,550.06
  5. Step 5: Solve for x
    x = 292,789,480,550.06/250,867.13
  6. Step 6: Final answer
    x = 1,167,109.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.