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Finding the Third Proportional to 162,676 and 298,352

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Solution

The third proportional to 162,676 and 298,352 is: 547,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,676 : 298,352 = 298,352 : x
  2. Step 2: Convert to fraction form
    162,676/298,352 = 298,352/x
  3. Step 3: Cross multiply
    162,676x = 298,352 × 298,352
  4. Step 4: Simplify right side
    162,676x = 89,013,915,904
  5. Step 5: Solve for x
    x = 89,013,915,904/162,676
  6. Step 6: Final answer
    x = 547,185.30

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.