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Finding the Third Proportional to 112,190 and 238,230

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Solution

The third proportional to 112,190 and 238,230 is: 505,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,190 : 238,230 = 238,230 : x
  2. Step 2: Convert to fraction form
    112,190/238,230 = 238,230/x
  3. Step 3: Cross multiply
    112,190x = 238,230 × 238,230
  4. Step 4: Simplify right side
    112,190x = 56,753,532,900
  5. Step 5: Solve for x
    x = 56,753,532,900/112,190
  6. Step 6: Final answer
    x = 505,869.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.