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Finding the Third Proportional to 202,022.50 and 301,282

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Solution

The third proportional to 202,022.50 and 301,282 is: 449,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.50 : 301,282 = 301,282 : x
  2. Step 2: Convert to fraction form
    202,022.50/301,282 = 301,282/x
  3. Step 3: Cross multiply
    202,022.50x = 301,282 × 301,282
  4. Step 4: Simplify right side
    202,022.50x = 90,770,843,524
  5. Step 5: Solve for x
    x = 90,770,843,524/202,022.50
  6. Step 6: Final answer
    x = 449,310.56

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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.