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Finding the Third Proportional to 221,680.13 and 324,656.44

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Solution

The third proportional to 221,680.13 and 324,656.44 is: 475,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.13 : 324,656.44 = 324,656.44 : x
  2. Step 2: Convert to fraction form
    221,680.13/324,656.44 = 324,656.44/x
  3. Step 3: Cross multiply
    221,680.13x = 324,656.44 × 324,656.44
  4. Step 4: Simplify right side
    221,680.13x = 105,401,802,410.19
  5. Step 5: Solve for x
    x = 105,401,802,410.19/221,680.13
  6. Step 6: Final answer
    x = 475,467.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.