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Finding the Third Proportional to 129,274 and 279,301

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Solution

The third proportional to 129,274 and 279,301 is: 603,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,274 : 279,301 = 279,301 : x
  2. Step 2: Convert to fraction form
    129,274/279,301 = 279,301/x
  3. Step 3: Cross multiply
    129,274x = 279,301 × 279,301
  4. Step 4: Simplify right side
    129,274x = 78,009,048,601
  5. Step 5: Solve for x
    x = 78,009,048,601/129,274
  6. Step 6: Final answer
    x = 603,439.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.