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Finding the Third Proportional to 201,433 and 282,372

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Solution

The third proportional to 201,433 and 282,372 is: 395,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,433 : 282,372 = 282,372 : x
  2. Step 2: Convert to fraction form
    201,433/282,372 = 282,372/x
  3. Step 3: Cross multiply
    201,433x = 282,372 × 282,372
  4. Step 4: Simplify right side
    201,433x = 79,733,946,384
  5. Step 5: Solve for x
    x = 79,733,946,384/201,433
  6. Step 6: Final answer
    x = 395,833.58

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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.