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Finding the Third Proportional to 204,951 and 304,438.50

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Solution

The third proportional to 204,951 and 304,438.50 is: 452,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951 : 304,438.50 = 304,438.50 : x
  2. Step 2: Convert to fraction form
    204,951/304,438.50 = 304,438.50/x
  3. Step 3: Cross multiply
    204,951x = 304,438.50 × 304,438.50
  4. Step 4: Simplify right side
    204,951x = 92,682,800,282.25
  5. Step 5: Solve for x
    x = 92,682,800,282.25/204,951
  6. Step 6: Final answer
    x = 452,219.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.