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Finding the Third Proportional to 195,961 and 293,179

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Solution

The third proportional to 195,961 and 293,179 is: 438,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,961 : 293,179 = 293,179 : x
  2. Step 2: Convert to fraction form
    195,961/293,179 = 293,179/x
  3. Step 3: Cross multiply
    195,961x = 293,179 × 293,179
  4. Step 4: Simplify right side
    195,961x = 85,953,926,041
  5. Step 5: Solve for x
    x = 85,953,926,041/195,961
  6. Step 6: Final answer
    x = 438,627.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.