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Finding the Third Proportional to 204,655.50 and 442,939.50

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Solution

The third proportional to 204,655.50 and 442,939.50 is: 958,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,655.50 : 442,939.50 = 442,939.50 : x
  2. Step 2: Convert to fraction form
    204,655.50/442,939.50 = 442,939.50/x
  3. Step 3: Cross multiply
    204,655.50x = 442,939.50 × 442,939.50
  4. Step 4: Simplify right side
    204,655.50x = 196,195,400,660.25
  5. Step 5: Solve for x
    x = 196,195,400,660.25/204,655.50
  6. Step 6: Final answer
    x = 958,661.75

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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.