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Finding the Third Proportional to 135,208 and 301,472

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Solution

The third proportional to 135,208 and 301,472 is: 672,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,208 : 301,472 = 301,472 : x
  2. Step 2: Convert to fraction form
    135,208/301,472 = 301,472/x
  3. Step 3: Cross multiply
    135,208x = 301,472 × 301,472
  4. Step 4: Simplify right side
    135,208x = 90,885,366,784
  5. Step 5: Solve for x
    x = 90,885,366,784/135,208
  6. Step 6: Final answer
    x = 672,189.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.