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Finding the Third Proportional to 171,713.25 and 262,669.50

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Solution

The third proportional to 171,713.25 and 262,669.50 is: 401,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,713.25 : 262,669.50 = 262,669.50 : x
  2. Step 2: Convert to fraction form
    171,713.25/262,669.50 = 262,669.50/x
  3. Step 3: Cross multiply
    171,713.25x = 262,669.50 × 262,669.50
  4. Step 4: Simplify right side
    171,713.25x = 68,995,266,230.25
  5. Step 5: Solve for x
    x = 68,995,266,230.25/171,713.25
  6. Step 6: Final answer
    x = 401,805.14

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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.