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Finding the Third Proportional to 157,984 and 338,204

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Solution

The third proportional to 157,984 and 338,204 is: 724,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,984 : 338,204 = 338,204 : x
  2. Step 2: Convert to fraction form
    157,984/338,204 = 338,204/x
  3. Step 3: Cross multiply
    157,984x = 338,204 × 338,204
  4. Step 4: Simplify right side
    157,984x = 114,381,945,616
  5. Step 5: Solve for x
    x = 114,381,945,616/157,984
  6. Step 6: Final answer
    x = 724,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.