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Finding the Third Proportional to 204,730.50 and 442,995.50

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Solution

The third proportional to 204,730.50 and 442,995.50 is: 958,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,730.50 : 442,995.50 = 442,995.50 : x
  2. Step 2: Convert to fraction form
    204,730.50/442,995.50 = 442,995.50/x
  3. Step 3: Cross multiply
    204,730.50x = 442,995.50 × 442,995.50
  4. Step 4: Simplify right side
    204,730.50x = 196,245,013,020.25
  5. Step 5: Solve for x
    x = 196,245,013,020.25/204,730.50
  6. Step 6: Final answer
    x = 958,552.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.