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Finding the Third Proportional to 156,977 and 224,187

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Solution

The third proportional to 156,977 and 224,187 is: 320,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,977 : 224,187 = 224,187 : x
  2. Step 2: Convert to fraction form
    156,977/224,187 = 224,187/x
  3. Step 3: Cross multiply
    156,977x = 224,187 × 224,187
  4. Step 4: Simplify right side
    156,977x = 50,259,810,969
  5. Step 5: Solve for x
    x = 50,259,810,969/156,977
  6. Step 6: Final answer
    x = 320,173.09

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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.