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Finding the Third Proportional to 129,936 and 293,478

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Solution

The third proportional to 129,936 and 293,478 is: 662,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,936 : 293,478 = 293,478 : x
  2. Step 2: Convert to fraction form
    129,936/293,478 = 293,478/x
  3. Step 3: Cross multiply
    129,936x = 293,478 × 293,478
  4. Step 4: Simplify right side
    129,936x = 86,129,336,484
  5. Step 5: Solve for x
    x = 86,129,336,484/129,936
  6. Step 6: Final answer
    x = 662,859.69

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.