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Finding the Third Proportional to 201,424 and 282,341

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Solution

The third proportional to 201,424 and 282,341 is: 395,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424 : 282,341 = 282,341 : x
  2. Step 2: Convert to fraction form
    201,424/282,341 = 282,341/x
  3. Step 3: Cross multiply
    201,424x = 282,341 × 282,341
  4. Step 4: Simplify right side
    201,424x = 79,716,440,281
  5. Step 5: Solve for x
    x = 79,716,440,281/201,424
  6. Step 6: Final answer
    x = 395,764.36

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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.