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Finding the Third Proportional to 119,181.38 and 176,709.38

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Solution

The third proportional to 119,181.38 and 176,709.38 is: 262,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,181.38 : 176,709.38 = 176,709.38 : x
  2. Step 2: Convert to fraction form
    119,181.38/176,709.38 = 176,709.38/x
  3. Step 3: Cross multiply
    119,181.38x = 176,709.38 × 176,709.38
  4. Step 4: Simplify right side
    119,181.38x = 31,226,203,212.89
  5. Step 5: Solve for x
    x = 31,226,203,212.89/119,181.38
  6. Step 6: Final answer
    x = 262,005.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.