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Finding the Third Proportional to 204,983.50 and 423,097

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Solution

The third proportional to 204,983.50 and 423,097 is: 873,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,983.50 : 423,097 = 423,097 : x
  2. Step 2: Convert to fraction form
    204,983.50/423,097 = 423,097/x
  3. Step 3: Cross multiply
    204,983.50x = 423,097 × 423,097
  4. Step 4: Simplify right side
    204,983.50x = 179,011,071,409
  5. Step 5: Solve for x
    x = 179,011,071,409/204,983.50
  6. Step 6: Final answer
    x = 873,295.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.