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Finding the Third Proportional to 218,204 and 296,200

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Solution

The third proportional to 218,204 and 296,200 is: 402,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,204 : 296,200 = 296,200 : x
  2. Step 2: Convert to fraction form
    218,204/296,200 = 296,200/x
  3. Step 3: Cross multiply
    218,204x = 296,200 × 296,200
  4. Step 4: Simplify right side
    218,204x = 87,734,440,000
  5. Step 5: Solve for x
    x = 87,734,440,000/218,204
  6. Step 6: Final answer
    x = 402,075.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.