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Finding the Third Proportional to 248,566 and 372,876

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Solution

The third proportional to 248,566 and 372,876 is: 559,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,566 : 372,876 = 372,876 : x
  2. Step 2: Convert to fraction form
    248,566/372,876 = 372,876/x
  3. Step 3: Cross multiply
    248,566x = 372,876 × 372,876
  4. Step 4: Simplify right side
    248,566x = 139,036,511,376
  5. Step 5: Solve for x
    x = 139,036,511,376/248,566
  6. Step 6: Final answer
    x = 559,354.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.