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Finding the Third Proportional to 212,022.56 and 327,876.19

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Solution

The third proportional to 212,022.56 and 327,876.19 is: 507,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,022.56 : 327,876.19 = 327,876.19 : x
  2. Step 2: Convert to fraction form
    212,022.56/327,876.19 = 327,876.19/x
  3. Step 3: Cross multiply
    212,022.56x = 327,876.19 × 327,876.19
  4. Step 4: Simplify right side
    212,022.56x = 107,502,794,329.54
  5. Step 5: Solve for x
    x = 107,502,794,329.54/212,022.56
  6. Step 6: Final answer
    x = 507,034.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.