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Finding the Third Proportional to 203,966.44 and 432,244.69

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Solution

The third proportional to 203,966.44 and 432,244.69 is: 916,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,966.44 : 432,244.69 = 432,244.69 : x
  2. Step 2: Convert to fraction form
    203,966.44/432,244.69 = 432,244.69/x
  3. Step 3: Cross multiply
    203,966.44x = 432,244.69 × 432,244.69
  4. Step 4: Simplify right side
    203,966.44x = 186,835,469,871.97
  5. Step 5: Solve for x
    x = 186,835,469,871.97/203,966.44
  6. Step 6: Final answer
    x = 916,010.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.