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Finding the Third Proportional to 211,186.50 and 459,552

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Solution

The third proportional to 211,186.50 and 459,552 is: 1,000,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,186.50 : 459,552 = 459,552 : x
  2. Step 2: Convert to fraction form
    211,186.50/459,552 = 459,552/x
  3. Step 3: Cross multiply
    211,186.50x = 459,552 × 459,552
  4. Step 4: Simplify right side
    211,186.50x = 211,188,040,704
  5. Step 5: Solve for x
    x = 211,188,040,704/211,186.50
  6. Step 6: Final answer
    x = 1,000,007.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.