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Finding the Third Proportional to 178,832 and 265,156

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Solution

The third proportional to 178,832 and 265,156 is: 393,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,832 : 265,156 = 265,156 : x
  2. Step 2: Convert to fraction form
    178,832/265,156 = 265,156/x
  3. Step 3: Cross multiply
    178,832x = 265,156 × 265,156
  4. Step 4: Simplify right side
    178,832x = 70,307,704,336
  5. Step 5: Solve for x
    x = 70,307,704,336/178,832
  6. Step 6: Final answer
    x = 393,149.46

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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.