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Finding the Third Proportional to 172,404 and 264,933

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Solution

The third proportional to 172,404 and 264,933 is: 407,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,404 : 264,933 = 264,933 : x
  2. Step 2: Convert to fraction form
    172,404/264,933 = 264,933/x
  3. Step 3: Cross multiply
    172,404x = 264,933 × 264,933
  4. Step 4: Simplify right side
    172,404x = 70,189,494,489
  5. Step 5: Solve for x
    x = 70,189,494,489/172,404
  6. Step 6: Final answer
    x = 407,122.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.