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Finding the Third Proportional to 172,408 and 264,912

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Solution

The third proportional to 172,408 and 264,912 is: 407,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408 : 264,912 = 264,912 : x
  2. Step 2: Convert to fraction form
    172,408/264,912 = 264,912/x
  3. Step 3: Cross multiply
    172,408x = 264,912 × 264,912
  4. Step 4: Simplify right side
    172,408x = 70,178,367,744
  5. Step 5: Solve for x
    x = 70,178,367,744/172,408
  6. Step 6: Final answer
    x = 407,048.21

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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.