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Finding the Third Proportional to 160,605 and 345,876

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Solution

The third proportional to 160,605 and 345,876 is: 744,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,605 : 345,876 = 345,876 : x
  2. Step 2: Convert to fraction form
    160,605/345,876 = 345,876/x
  3. Step 3: Cross multiply
    160,605x = 345,876 × 345,876
  4. Step 4: Simplify right side
    160,605x = 119,630,207,376
  5. Step 5: Solve for x
    x = 119,630,207,376/160,605
  6. Step 6: Final answer
    x = 744,872.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.