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Finding the Third Proportional to 211,827 and 327,136.50

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Solution

The third proportional to 211,827 and 327,136.50 is: 505,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,827 : 327,136.50 = 327,136.50 : x
  2. Step 2: Convert to fraction form
    211,827/327,136.50 = 327,136.50/x
  3. Step 3: Cross multiply
    211,827x = 327,136.50 × 327,136.50
  4. Step 4: Simplify right side
    211,827x = 107,018,289,632.25
  5. Step 5: Solve for x
    x = 107,018,289,632.25/211,827
  6. Step 6: Final answer
    x = 505,215.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.