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Finding the Third Proportional to 185,733 and 279,018

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Solution

The third proportional to 185,733 and 279,018 is: 419,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,733 : 279,018 = 279,018 : x
  2. Step 2: Convert to fraction form
    185,733/279,018 = 279,018/x
  3. Step 3: Cross multiply
    185,733x = 279,018 × 279,018
  4. Step 4: Simplify right side
    185,733x = 77,851,044,324
  5. Step 5: Solve for x
    x = 77,851,044,324/185,733
  6. Step 6: Final answer
    x = 419,155.69

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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.