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Finding the Third Proportional to 119,204.44 and 178,806.38

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Solution

The third proportional to 119,204.44 and 178,806.38 is: 268,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,204.44 : 178,806.38 = 178,806.38 : x
  2. Step 2: Convert to fraction form
    119,204.44/178,806.38 = 178,806.38/x
  3. Step 3: Cross multiply
    119,204.44x = 178,806.38 × 178,806.38
  4. Step 4: Simplify right side
    119,204.44x = 31,971,719,740.64
  5. Step 5: Solve for x
    x = 31,971,719,740.64/119,204.44
  6. Step 6: Final answer
    x = 268,209.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.