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Finding the Third Proportional to 201,423 and 282,357

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Solution

The third proportional to 201,423 and 282,357 is: 395,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423 : 282,357 = 282,357 : x
  2. Step 2: Convert to fraction form
    201,423/282,357 = 282,357/x
  3. Step 3: Cross multiply
    201,423x = 282,357 × 282,357
  4. Step 4: Simplify right side
    201,423x = 79,725,475,449
  5. Step 5: Solve for x
    x = 79,725,475,449/201,423
  6. Step 6: Final answer
    x = 395,811.18

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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.