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Finding the Third Proportional to 185,924 and 279,310

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Solution

The third proportional to 185,924 and 279,310 is: 419,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,924 : 279,310 = 279,310 : x
  2. Step 2: Convert to fraction form
    185,924/279,310 = 279,310/x
  3. Step 3: Cross multiply
    185,924x = 279,310 × 279,310
  4. Step 4: Simplify right side
    185,924x = 78,014,076,100
  5. Step 5: Solve for x
    x = 78,014,076,100/185,924
  6. Step 6: Final answer
    x = 419,601.97

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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.