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Finding the Third Proportional to 211,598 and 324,105

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Solution

The third proportional to 211,598 and 324,105 is: 496,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,598 : 324,105 = 324,105 : x
  2. Step 2: Convert to fraction form
    211,598/324,105 = 324,105/x
  3. Step 3: Cross multiply
    211,598x = 324,105 × 324,105
  4. Step 4: Simplify right side
    211,598x = 105,044,051,025
  5. Step 5: Solve for x
    x = 105,044,051,025/211,598
  6. Step 6: Final answer
    x = 496,432.15

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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.