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Finding the Third Proportional to 214,467.75 and 423,552.38

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Solution

The third proportional to 214,467.75 and 423,552.38 is: 836,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,467.75 : 423,552.38 = 423,552.38 : x
  2. Step 2: Convert to fraction form
    214,467.75/423,552.38 = 423,552.38/x
  3. Step 3: Cross multiply
    214,467.75x = 423,552.38 × 423,552.38
  4. Step 4: Simplify right side
    214,467.75x = 179,396,614,368.14
  5. Step 5: Solve for x
    x = 179,396,614,368.14/214,467.75
  6. Step 6: Final answer
    x = 836,473.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.