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Finding the Third Proportional to 204,364.90 and 300,780.84

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Solution

The third proportional to 204,364.90 and 300,780.84 is: 442,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,364.90 : 300,780.84 = 300,780.84 : x
  2. Step 2: Convert to fraction form
    204,364.90/300,780.84 = 300,780.84/x
  3. Step 3: Cross multiply
    204,364.90x = 300,780.84 × 300,780.84
  4. Step 4: Simplify right side
    204,364.90x = 90,469,115,966.96
  5. Step 5: Solve for x
    x = 90,469,115,966.96/204,364.90
  6. Step 6: Final answer
    x = 442,684.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.