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Finding the Third Proportional to 162,418.50 and 251,012.25

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Solution

The third proportional to 162,418.50 and 251,012.25 is: 387,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,418.50 : 251,012.25 = 251,012.25 : x
  2. Step 2: Convert to fraction form
    162,418.50/251,012.25 = 251,012.25/x
  3. Step 3: Cross multiply
    162,418.50x = 251,012.25 × 251,012.25
  4. Step 4: Simplify right side
    162,418.50x = 63,007,149,650.06
  5. Step 5: Solve for x
    x = 63,007,149,650.06/162,418.50
  6. Step 6: Final answer
    x = 387,930.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.