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Finding the Third Proportional to 171,721.13 and 262,680.19

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Solution

The third proportional to 171,721.13 and 262,680.19 is: 401,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,721.13 : 262,680.19 = 262,680.19 : x
  2. Step 2: Convert to fraction form
    171,721.13/262,680.19 = 262,680.19/x
  3. Step 3: Cross multiply
    171,721.13x = 262,680.19 × 262,680.19
  4. Step 4: Simplify right side
    171,721.13x = 69,000,880,905.04
  5. Step 5: Solve for x
    x = 69,000,880,905.04/171,721.13
  6. Step 6: Final answer
    x = 401,819.41

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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.