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Finding the Third Proportional to 138,208 and 303,200

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Solution

The third proportional to 138,208 and 303,200 is: 665,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,208 : 303,200 = 303,200 : x
  2. Step 2: Convert to fraction form
    138,208/303,200 = 303,200/x
  3. Step 3: Cross multiply
    138,208x = 303,200 × 303,200
  4. Step 4: Simplify right side
    138,208x = 91,930,240,000
  5. Step 5: Solve for x
    x = 91,930,240,000/138,208
  6. Step 6: Final answer
    x = 665,158.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.