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Finding the Third Proportional to 172,012.25 and 262,511.75

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Solution

The third proportional to 172,012.25 and 262,511.75 is: 400,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,012.25 : 262,511.75 = 262,511.75 : x
  2. Step 2: Convert to fraction form
    172,012.25/262,511.75 = 262,511.75/x
  3. Step 3: Cross multiply
    172,012.25x = 262,511.75 × 262,511.75
  4. Step 4: Simplify right side
    172,012.25x = 68,912,418,888.06
  5. Step 5: Solve for x
    x = 68,912,418,888.06/172,012.25
  6. Step 6: Final answer
    x = 400,625.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.