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Finding the Third Proportional to 165,176 and 243,876

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Solution

The third proportional to 165,176 and 243,876 is: 360,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,176 : 243,876 = 243,876 : x
  2. Step 2: Convert to fraction form
    165,176/243,876 = 243,876/x
  3. Step 3: Cross multiply
    165,176x = 243,876 × 243,876
  4. Step 4: Simplify right side
    165,176x = 59,475,503,376
  5. Step 5: Solve for x
    x = 59,475,503,376/165,176
  6. Step 6: Final answer
    x = 360,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.