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Finding the Third Proportional to 185,634 and 279,270

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Solution

The third proportional to 185,634 and 279,270 is: 420,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,634 : 279,270 = 279,270 : x
  2. Step 2: Convert to fraction form
    185,634/279,270 = 279,270/x
  3. Step 3: Cross multiply
    185,634x = 279,270 × 279,270
  4. Step 4: Simplify right side
    185,634x = 77,991,732,900
  5. Step 5: Solve for x
    x = 77,991,732,900/185,634
  6. Step 6: Final answer
    x = 420,137.11

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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.