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Finding the Third Proportional to 126,827.44 and 200,679.19

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Solution

The third proportional to 126,827.44 and 200,679.19 is: 317,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,827.44 : 200,679.19 = 200,679.19 : x
  2. Step 2: Convert to fraction form
    126,827.44/200,679.19 = 200,679.19/x
  3. Step 3: Cross multiply
    126,827.44x = 200,679.19 × 200,679.19
  4. Step 4: Simplify right side
    126,827.44x = 40,272,136,295.66
  5. Step 5: Solve for x
    x = 40,272,136,295.66/126,827.44
  6. Step 6: Final answer
    x = 317,534.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.