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Finding the Third Proportional to 168,846 and 360,294

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Solution

The third proportional to 168,846 and 360,294 is: 768,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,846 : 360,294 = 360,294 : x
  2. Step 2: Convert to fraction form
    168,846/360,294 = 360,294/x
  3. Step 3: Cross multiply
    168,846x = 360,294 × 360,294
  4. Step 4: Simplify right side
    168,846x = 129,811,766,436
  5. Step 5: Solve for x
    x = 129,811,766,436/168,846
  6. Step 6: Final answer
    x = 768,817.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.