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Finding the Third Proportional to 178,306 and 262,000

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Solution

The third proportional to 178,306 and 262,000 is: 384,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,306 : 262,000 = 262,000 : x
  2. Step 2: Convert to fraction form
    178,306/262,000 = 262,000/x
  3. Step 3: Cross multiply
    178,306x = 262,000 × 262,000
  4. Step 4: Simplify right side
    178,306x = 68,644,000,000
  5. Step 5: Solve for x
    x = 68,644,000,000/178,306
  6. Step 6: Final answer
    x = 384,978.63

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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.