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Finding the Third Proportional to 178,942.50 and 252,855

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Solution

The third proportional to 178,942.50 and 252,855 is: 357,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,942.50 : 252,855 = 252,855 : x
  2. Step 2: Convert to fraction form
    178,942.50/252,855 = 252,855/x
  3. Step 3: Cross multiply
    178,942.50x = 252,855 × 252,855
  4. Step 4: Simplify right side
    178,942.50x = 63,935,651,025
  5. Step 5: Solve for x
    x = 63,935,651,025/178,942.50
  6. Step 6: Final answer
    x = 357,297.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.