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Finding the Third Proportional to 162,582 and 342,876

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Solution

The third proportional to 162,582 and 342,876 is: 723,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,582 : 342,876 = 342,876 : x
  2. Step 2: Convert to fraction form
    162,582/342,876 = 342,876/x
  3. Step 3: Cross multiply
    162,582x = 342,876 × 342,876
  4. Step 4: Simplify right side
    162,582x = 117,563,951,376
  5. Step 5: Solve for x
    x = 117,563,951,376/162,582
  6. Step 6: Final answer
    x = 723,105.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.