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Finding the Third Proportional to 172,914.38 and 264,618.75

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Solution

The third proportional to 172,914.38 and 264,618.75 is: 404,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,914.38 : 264,618.75 = 264,618.75 : x
  2. Step 2: Convert to fraction form
    172,914.38/264,618.75 = 264,618.75/x
  3. Step 3: Cross multiply
    172,914.38x = 264,618.75 × 264,618.75
  4. Step 4: Simplify right side
    172,914.38x = 70,023,082,851.56
  5. Step 5: Solve for x
    x = 70,023,082,851.56/172,914.38
  6. Step 6: Final answer
    x = 404,958.14

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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.