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Finding the Third Proportional to 177,423 and 282,162

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Solution

The third proportional to 177,423 and 282,162 is: 448,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,423 : 282,162 = 282,162 : x
  2. Step 2: Convert to fraction form
    177,423/282,162 = 282,162/x
  3. Step 3: Cross multiply
    177,423x = 282,162 × 282,162
  4. Step 4: Simplify right side
    177,423x = 79,615,394,244
  5. Step 5: Solve for x
    x = 79,615,394,244/177,423
  6. Step 6: Final answer
    x = 448,732.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.