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Finding the Third Proportional to 176,934.38 and 281,431.97

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Solution

The third proportional to 176,934.38 and 281,431.97 is: 447,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,934.38 : 281,431.97 = 281,431.97 : x
  2. Step 2: Convert to fraction form
    176,934.38/281,431.97 = 281,431.97/x
  3. Step 3: Cross multiply
    176,934.38x = 281,431.97 × 281,431.97
  4. Step 4: Simplify right side
    176,934.38x = 79,203,953,034.50
  5. Step 5: Solve for x
    x = 79,203,953,034.50/176,934.38
  6. Step 6: Final answer
    x = 447,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.