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Finding the Third Proportional to 214,466.63 and 423,550.13

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Solution

The third proportional to 214,466.63 and 423,550.13 is: 836,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,466.63 : 423,550.13 = 423,550.13 : x
  2. Step 2: Convert to fraction form
    214,466.63/423,550.13 = 423,550.13/x
  3. Step 3: Cross multiply
    214,466.63x = 423,550.13 × 423,550.13
  4. Step 4: Simplify right side
    214,466.63x = 179,394,708,387.52
  5. Step 5: Solve for x
    x = 179,394,708,387.52/214,466.63
  6. Step 6: Final answer
    x = 836,469.12

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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.