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Finding the Third Proportional to 250,659.56 and 541,269.84

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Solution

The third proportional to 250,659.56 and 541,269.84 is: 1,168,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,659.56 : 541,269.84 = 541,269.84 : x
  2. Step 2: Convert to fraction form
    250,659.56/541,269.84 = 541,269.84/x
  3. Step 3: Cross multiply
    250,659.56x = 541,269.84 × 541,269.84
  4. Step 4: Simplify right side
    250,659.56x = 292,973,043,753.15
  5. Step 5: Solve for x
    x = 292,973,043,753.15/250,659.56
  6. Step 6: Final answer
    x = 1,168,808.57

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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.