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Finding the Third Proportional to 178,444 and 262,734

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Solution

The third proportional to 178,444 and 262,734 is: 386,839.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,444 : 262,734 = 262,734 : x
  2. Step 2: Convert to fraction form
    178,444/262,734 = 262,734/x
  3. Step 3: Cross multiply
    178,444x = 262,734 × 262,734
  4. Step 4: Simplify right side
    178,444x = 69,029,154,756
  5. Step 5: Solve for x
    x = 69,029,154,756/178,444
  6. Step 6: Final answer
    x = 386,839.32

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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.