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Finding the Third Proportional to 129,456 and 203,418

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Solution

The third proportional to 129,456 and 203,418 is: 319,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,456 : 203,418 = 203,418 : x
  2. Step 2: Convert to fraction form
    129,456/203,418 = 203,418/x
  3. Step 3: Cross multiply
    129,456x = 203,418 × 203,418
  4. Step 4: Simplify right side
    129,456x = 41,378,882,724
  5. Step 5: Solve for x
    x = 41,378,882,724/129,456
  6. Step 6: Final answer
    x = 319,636.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.