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Finding the Third Proportional to 178,056 and 255,059

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Solution

The third proportional to 178,056 and 255,059 is: 365,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,056 : 255,059 = 255,059 : x
  2. Step 2: Convert to fraction form
    178,056/255,059 = 255,059/x
  3. Step 3: Cross multiply
    178,056x = 255,059 × 255,059
  4. Step 4: Simplify right side
    178,056x = 65,055,093,481
  5. Step 5: Solve for x
    x = 65,055,093,481/178,056
  6. Step 6: Final answer
    x = 365,363.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.