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Finding the Third Proportional to 97,404 and 227,573

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Solution

The third proportional to 97,404 and 227,573 is: 531,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404 : 227,573 = 227,573 : x
  2. Step 2: Convert to fraction form
    97,404/227,573 = 227,573/x
  3. Step 3: Cross multiply
    97,404x = 227,573 × 227,573
  4. Step 4: Simplify right side
    97,404x = 51,789,470,329
  5. Step 5: Solve for x
    x = 51,789,470,329/97,404
  6. Step 6: Final answer
    x = 531,697.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.