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Finding the Third Proportional to 178,120.69 and 262,467

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Solution

The third proportional to 178,120.69 and 262,467 is: 386,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,120.69 : 262,467 = 262,467 : x
  2. Step 2: Convert to fraction form
    178,120.69/262,467 = 262,467/x
  3. Step 3: Cross multiply
    178,120.69x = 262,467 × 262,467
  4. Step 4: Simplify right side
    178,120.69x = 68,888,926,089
  5. Step 5: Solve for x
    x = 68,888,926,089/178,120.69
  6. Step 6: Final answer
    x = 386,754.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.