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Finding the Third Proportional to 178,536 and 236,942

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Solution

The third proportional to 178,536 and 236,942 is: 314,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536 : 236,942 = 236,942 : x
  2. Step 2: Convert to fraction form
    178,536/236,942 = 236,942/x
  3. Step 3: Cross multiply
    178,536x = 236,942 × 236,942
  4. Step 4: Simplify right side
    178,536x = 56,141,511,364
  5. Step 5: Solve for x
    x = 56,141,511,364/178,536
  6. Step 6: Final answer
    x = 314,454.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.