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Finding the Third Proportional to 129,908 and 279,229

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Solution

The third proportional to 129,908 and 279,229 is: 600,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908 : 279,229 = 279,229 : x
  2. Step 2: Convert to fraction form
    129,908/279,229 = 279,229/x
  3. Step 3: Cross multiply
    129,908x = 279,229 × 279,229
  4. Step 4: Simplify right side
    129,908x = 77,968,834,441
  5. Step 5: Solve for x
    x = 77,968,834,441/129,908
  6. Step 6: Final answer
    x = 600,185.01

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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.