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Finding the Third Proportional to 102,489 and 224,722

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Solution

The third proportional to 102,489 and 224,722 is: 492,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,489 : 224,722 = 224,722 : x
  2. Step 2: Convert to fraction form
    102,489/224,722 = 224,722/x
  3. Step 3: Cross multiply
    102,489x = 224,722 × 224,722
  4. Step 4: Simplify right side
    102,489x = 50,499,977,284
  5. Step 5: Solve for x
    x = 50,499,977,284/102,489
  6. Step 6: Final answer
    x = 492,735.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.