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Finding the Third Proportional to 185,906 and 279,283

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Solution

The third proportional to 185,906 and 279,283 is: 419,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906 : 279,283 = 279,283 : x
  2. Step 2: Convert to fraction form
    185,906/279,283 = 279,283/x
  3. Step 3: Cross multiply
    185,906x = 279,283 × 279,283
  4. Step 4: Simplify right side
    185,906x = 77,998,994,089
  5. Step 5: Solve for x
    x = 77,998,994,089/185,906
  6. Step 6: Final answer
    x = 419,561.47

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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.