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Finding the Third Proportional to 126,576.50 and 196,246.25

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Solution

The third proportional to 126,576.50 and 196,246.25 is: 304,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,576.50 : 196,246.25 = 196,246.25 : x
  2. Step 2: Convert to fraction form
    126,576.50/196,246.25 = 196,246.25/x
  3. Step 3: Cross multiply
    126,576.50x = 196,246.25 × 196,246.25
  4. Step 4: Simplify right side
    126,576.50x = 38,512,590,639.06
  5. Step 5: Solve for x
    x = 38,512,590,639.06/126,576.50
  6. Step 6: Final answer
    x = 304,263.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.