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Finding the Third Proportional to 185,922 and 279,307

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Solution

The third proportional to 185,922 and 279,307 is: 419,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,922 : 279,307 = 279,307 : x
  2. Step 2: Convert to fraction form
    185,922/279,307 = 279,307/x
  3. Step 3: Cross multiply
    185,922x = 279,307 × 279,307
  4. Step 4: Simplify right side
    185,922x = 78,012,400,249
  5. Step 5: Solve for x
    x = 78,012,400,249/185,922
  6. Step 6: Final answer
    x = 419,597.47

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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.