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Finding the Third Proportional to 214,569.63 and 324,616.36

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Solution

The third proportional to 214,569.63 and 324,616.36 is: 491,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,569.63 : 324,616.36 = 324,616.36 : x
  2. Step 2: Convert to fraction form
    214,569.63/324,616.36 = 324,616.36/x
  3. Step 3: Cross multiply
    214,569.63x = 324,616.36 × 324,616.36
  4. Step 4: Simplify right side
    214,569.63x = 105,375,780,773.88
  5. Step 5: Solve for x
    x = 105,375,780,773.88/214,569.63
  6. Step 6: Final answer
    x = 491,102.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.