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Finding the Third Proportional to 172,920 and 264,627

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Solution

The third proportional to 172,920 and 264,627 is: 404,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,920 : 264,627 = 264,627 : x
  2. Step 2: Convert to fraction form
    172,920/264,627 = 264,627/x
  3. Step 3: Cross multiply
    172,920x = 264,627 × 264,627
  4. Step 4: Simplify right side
    172,920x = 70,027,449,129
  5. Step 5: Solve for x
    x = 70,027,449,129/172,920
  6. Step 6: Final answer
    x = 404,970.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.