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Finding the Third Proportional to 213,966.56 and 451,802.81

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Solution

The third proportional to 213,966.56 and 451,802.81 is: 954,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,966.56 : 451,802.81 = 451,802.81 : x
  2. Step 2: Convert to fraction form
    213,966.56/451,802.81 = 451,802.81/x
  3. Step 3: Cross multiply
    213,966.56x = 451,802.81 × 451,802.81
  4. Step 4: Simplify right side
    213,966.56x = 204,125,781,382.91
  5. Step 5: Solve for x
    x = 204,125,781,382.91/213,966.56
  6. Step 6: Final answer
    x = 954,007.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.