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Finding the Third Proportional to 156,980 and 224,189

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Solution

The third proportional to 156,980 and 224,189 is: 320,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,980 : 224,189 = 224,189 : x
  2. Step 2: Convert to fraction form
    156,980/224,189 = 224,189/x
  3. Step 3: Cross multiply
    156,980x = 224,189 × 224,189
  4. Step 4: Simplify right side
    156,980x = 50,260,707,721
  5. Step 5: Solve for x
    x = 50,260,707,721/156,980
  6. Step 6: Final answer
    x = 320,172.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.