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Finding the Third Proportional to 176,329 and 268,622

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Solution

The third proportional to 176,329 and 268,622 is: 409,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,329 : 268,622 = 268,622 : x
  2. Step 2: Convert to fraction form
    176,329/268,622 = 268,622/x
  3. Step 3: Cross multiply
    176,329x = 268,622 × 268,622
  4. Step 4: Simplify right side
    176,329x = 72,157,778,884
  5. Step 5: Solve for x
    x = 72,157,778,884/176,329
  6. Step 6: Final answer
    x = 409,222.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.