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Finding the Third Proportional to 201,369.50 and 282,218

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Solution

The third proportional to 201,369.50 and 282,218 is: 395,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,369.50 : 282,218 = 282,218 : x
  2. Step 2: Convert to fraction form
    201,369.50/282,218 = 282,218/x
  3. Step 3: Cross multiply
    201,369.50x = 282,218 × 282,218
  4. Step 4: Simplify right side
    201,369.50x = 79,646,999,524
  5. Step 5: Solve for x
    x = 79,646,999,524/201,369.50
  6. Step 6: Final answer
    x = 395,526.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.