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Finding the Third Proportional to 176,138 and 264,243

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Solution

The third proportional to 176,138 and 264,243 is: 396,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138 : 264,243 = 264,243 : x
  2. Step 2: Convert to fraction form
    176,138/264,243 = 264,243/x
  3. Step 3: Cross multiply
    176,138x = 264,243 × 264,243
  4. Step 4: Simplify right side
    176,138x = 69,824,363,049
  5. Step 5: Solve for x
    x = 69,824,363,049/176,138
  6. Step 6: Final answer
    x = 396,418.51

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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.