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Finding the Third Proportional to 220,456.75 and 329,827.13

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Solution

The third proportional to 220,456.75 and 329,827.13 is: 493,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,456.75 : 329,827.13 = 329,827.13 : x
  2. Step 2: Convert to fraction form
    220,456.75/329,827.13 = 329,827.13/x
  3. Step 3: Cross multiply
    220,456.75x = 329,827.13 × 329,827.13
  4. Step 4: Simplify right side
    220,456.75x = 108,785,932,385.77
  5. Step 5: Solve for x
    x = 108,785,932,385.77/220,456.75
  6. Step 6: Final answer
    x = 493,457.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.