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Finding the Third Proportional to 129,906 and 279,225

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Solution

The third proportional to 129,906 and 279,225 is: 600,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906 : 279,225 = 279,225 : x
  2. Step 2: Convert to fraction form
    129,906/279,225 = 279,225/x
  3. Step 3: Cross multiply
    129,906x = 279,225 × 279,225
  4. Step 4: Simplify right side
    129,906x = 77,966,600,625
  5. Step 5: Solve for x
    x = 77,966,600,625/129,906
  6. Step 6: Final answer
    x = 600,177.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.