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Finding the Third Proportional to 211,515.75 and 327,672

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Solution

The third proportional to 211,515.75 and 327,672 is: 507,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,515.75 : 327,672 = 327,672 : x
  2. Step 2: Convert to fraction form
    211,515.75/327,672 = 327,672/x
  3. Step 3: Cross multiply
    211,515.75x = 327,672 × 327,672
  4. Step 4: Simplify right side
    211,515.75x = 107,368,939,584
  5. Step 5: Solve for x
    x = 107,368,939,584/211,515.75
  6. Step 6: Final answer
    x = 507,616.76

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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.