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Finding the Third Proportional to 160,878 and 374,034

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Solution

The third proportional to 160,878 and 374,034 is: 869,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,878 : 374,034 = 374,034 : x
  2. Step 2: Convert to fraction form
    160,878/374,034 = 374,034/x
  3. Step 3: Cross multiply
    160,878x = 374,034 × 374,034
  4. Step 4: Simplify right side
    160,878x = 139,901,433,156
  5. Step 5: Solve for x
    x = 139,901,433,156/160,878
  6. Step 6: Final answer
    x = 869,611.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.