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Finding the Third Proportional to 251,814 and 352,041

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Solution

The third proportional to 251,814 and 352,041 is: 492,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,814 : 352,041 = 352,041 : x
  2. Step 2: Convert to fraction form
    251,814/352,041 = 352,041/x
  3. Step 3: Cross multiply
    251,814x = 352,041 × 352,041
  4. Step 4: Simplify right side
    251,814x = 123,932,865,681
  5. Step 5: Solve for x
    x = 123,932,865,681/251,814
  6. Step 6: Final answer
    x = 492,160.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.