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Finding the Third Proportional to 112,558 and 178,234

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Solution

The third proportional to 112,558 and 178,234 is: 282,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,558 : 178,234 = 178,234 : x
  2. Step 2: Convert to fraction form
    112,558/178,234 = 178,234/x
  3. Step 3: Cross multiply
    112,558x = 178,234 × 178,234
  4. Step 4: Simplify right side
    112,558x = 31,767,358,756
  5. Step 5: Solve for x
    x = 31,767,358,756/112,558
  6. Step 6: Final answer
    x = 282,231.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.