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Finding the Third Proportional to 178,274 and 262,083

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Solution

The third proportional to 178,274 and 262,083 is: 385,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,274 : 262,083 = 262,083 : x
  2. Step 2: Convert to fraction form
    178,274/262,083 = 262,083/x
  3. Step 3: Cross multiply
    178,274x = 262,083 × 262,083
  4. Step 4: Simplify right side
    178,274x = 68,687,498,889
  5. Step 5: Solve for x
    x = 68,687,498,889/178,274
  6. Step 6: Final answer
    x = 385,291.74

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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.