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Finding the Third Proportional to 162,165 and 354,876

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Solution

The third proportional to 162,165 and 354,876 is: 776,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,165 : 354,876 = 354,876 : x
  2. Step 2: Convert to fraction form
    162,165/354,876 = 354,876/x
  3. Step 3: Cross multiply
    162,165x = 354,876 × 354,876
  4. Step 4: Simplify right side
    162,165x = 125,936,975,376
  5. Step 5: Solve for x
    x = 125,936,975,376/162,165
  6. Step 6: Final answer
    x = 776,597.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.