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Finding the Third Proportional to 126,824.64 and 200,674.34

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Solution

The third proportional to 126,824.64 and 200,674.34 is: 317,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,824.64 : 200,674.34 = 200,674.34 : x
  2. Step 2: Convert to fraction form
    126,824.64/200,674.34 = 200,674.34/x
  3. Step 3: Cross multiply
    126,824.64x = 200,674.34 × 200,674.34
  4. Step 4: Simplify right side
    126,824.64x = 40,270,189,103.96
  5. Step 5: Solve for x
    x = 40,270,189,103.96/126,824.64
  6. Step 6: Final answer
    x = 317,526.53

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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.