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Finding the Third Proportional to 172,334 and 365,500

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Solution

The third proportional to 172,334 and 365,500 is: 775,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,334 : 365,500 = 365,500 : x
  2. Step 2: Convert to fraction form
    172,334/365,500 = 365,500/x
  3. Step 3: Cross multiply
    172,334x = 365,500 × 365,500
  4. Step 4: Simplify right side
    172,334x = 133,590,250,000
  5. Step 5: Solve for x
    x = 133,590,250,000/172,334
  6. Step 6: Final answer
    x = 775,182.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.