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Finding the Third Proportional to 119,188 and 176,722

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Solution

The third proportional to 119,188 and 176,722 is: 262,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,188 : 176,722 = 176,722 : x
  2. Step 2: Convert to fraction form
    119,188/176,722 = 176,722/x
  3. Step 3: Cross multiply
    119,188x = 176,722 × 176,722
  4. Step 4: Simplify right side
    119,188x = 31,230,665,284
  5. Step 5: Solve for x
    x = 31,230,665,284/119,188
  6. Step 6: Final answer
    x = 262,028.60

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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.