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Finding the Third Proportional to 201,750 and 282,092

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Solution

The third proportional to 201,750 and 282,092 is: 394,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,750 : 282,092 = 282,092 : x
  2. Step 2: Convert to fraction form
    201,750/282,092 = 282,092/x
  3. Step 3: Cross multiply
    201,750x = 282,092 × 282,092
  4. Step 4: Simplify right side
    201,750x = 79,575,896,464
  5. Step 5: Solve for x
    x = 79,575,896,464/201,750
  6. Step 6: Final answer
    x = 394,428.24

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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.